Publications on and with deal.II

Our institutes are evaluated at regular intervals. Consequently, we are interested in documenting the use of the programs and libraries we create. To this end, this page collects publications written on or with the help of deal.II. If you have written something, please let us know about it: the more comprehensive this list is, the simpler it is for us to justify to our departments and sponsors the effort we put into the library — something that helps all of us in the end.

Some other resources on the use of deal.II or its development can also be found on a page where we collect a few presentations.

Table of contents
  1. Referencing deal.II
  2. Publications on details of deal.II
  3. Publications per year:
    2010 2011
    2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
    1998 1999

Referencing deal.II

If you write a paper using results obtained with the help of deal.II, please cite one or both of the following references:

  1. W. Bangerth, R. Hartmann and G. Kanschat
    deal.II — a general-purpose object-oriented finite element library
    ACM Transactions on Mathematical Software, vol. 33, no. 4, article 24
    DOI 10.1145/1268776.1268779 for abstract and full text; (Preprint), (BibTeX Entry)
    @Article{BHK07,
      author = 	 {Wolfgang Bangerth and Ralf Hartmann and Guido Kanschat},
      title = 	 {{deal.II} -- a General Purpose Object Oriented Finite Element Library},
      journal = 	 {ACM Trans. Math. Softw.},
      year = 	 2007,
      volume = 	 33,
      number = 	 4,
      pages = 	 {24/1--24/27}
    }
  2. W. Bangerth and G. Kanschat
    deal.II Differential Equations Analysis Library, Technical Reference
    To be found on the project webpage http://www.dealii.org
    @Manual{BK,
      title = 	 {{\tt deal.{I}{I}} Differential Equations Analysis Library,
                      Technical Reference},
      author = 	 {W. Bangerth and G. Kanschat},
      note =         {\texttt{http://www.dealii.org}},
      url =          {http://www.dealii.org}
    }

Publications on details of deal.II

The following publications explain in great detail the implementation of algorithms and data structures of the hp, multigrid and distributed mesh components of deal.II:

  1. W. Bangerth, O. Kayser-Herold,
    Data Structures and Requirements for hp Finite Element Software
    ACM Trans. Math. Softw., vol. 36, pp. 4/1-31, 2009

  2. G. Kanschat
    Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
    Comput. & Struct., vol. 82, pp. 2437-2445, 2004

  3. W. Bangerth, C. Burstedde, T. Heister, M. Kronbichler
    Algorithms and Data Structures for Massively Parallel Generic Finite Element Codes
    Submitted. This paper is also available as IAMCS preprint 2011-187.
    For massively parallel computations, deal.II builds on the p4est library. If you use this functionality, please also cite the p4est paper listed at their website.

deal.II is a component of the SPEC CPU2006 benchmark suite. There are hundreds of papers that use and describe this testsuite as a reference for compiler and hardware optimizations. The following special issue gives a detailed comparison with respect to many different metrics of the benchmarks in SPEC CPU2006, including deal.II:

  1. Special Issue: SPEC CPU2006 analysis (Editor: John Henning)
    ACM SIGARCH Computer Architecture News, vol. 35, issue 1, 2007.

Publications in 2011

  1. F. Alouges, A. DeSimone, L. Heltai
    Numerical strategies for stroke optimization of axisymmetric microswimmers
    Mathematical Models and Methods in Applied Sciences, vol. 3, 2011.

  2. M. Arroyo, A. DeSimone, L. Heltai
    The role of membrane viscosity in the dynamics of fluid membranes
    arXiv:1007.4934, submitted, 2010.

  3. K. Benzarti, F. Freddi, M. Frémond
    A damage model to predict the durability of bonded assemblies. Part I: Debonding behavior of FRP strengthened concrete structures
    Construction and Building Materials, 25(2),547-555, 2011.

  4. L. Blank, L. Sarbu, M. Stoll
    Preconditioning for Allen-Cahn variational inequalities with non-local constraints
    submitted. Preprint 11/2010, Mathematik, Uni Regensburg, 2010.

  5. T. George, A. Gupta, V. Sarin
    An empirical analysis of the performance of iterative solvers for SPD systems
    Submitted to ACM Trans. Math. Softw., 2011.

  6. A. Ginzburg
    Introduction to Geophysics (in Hebrew)
    The Open University of Israel, 2011.

  7. J.-L. Guermond, A. Salgado
    Error analysis of a fractional time-stepping technique for incompressible flows with variable density.
    Submitted to SIAM J. of Numerical Analysis, 2011.

  8. R. Hartmann, J. Held, T. Leicht
    Adjoint-based error estimation and adaptive mesh refinement for the RANS and k-ω turbulence model equations
    J. Comput. Phys., accepted, 2010.

  9. R. Hartmann, J. Held, T. Leicht, F. Prill
    Error estimation and adaptive mesh refinement for aerodynamic flows
    In N. Kroll, H. Bieler, H. Deconinck, V. Couallier, H. van der Ven and K. Sorensen, editors, ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications, Springer, to appear, 2010.

  10. B. Janssen, G. Kanschat
    Adaptive multilevel methods with local smoothing
    submitted, 2010.

  11. B. Janssen, T. Wick
    Block Preconditioning with Schur Complements for Monolithic Fluid-Structure Interactions
    Eccomas CFD 2010 proceedings, submitted, 2010.

  12. O. P. Iliev, R. D. Lazarov, J. Willems
    Variational multiscale finite element method for flows in highly porous media
    SIAM Multiscale Modeling and Simulation, submitted, 2010

  13. T. Leicht, R. Hartmann
    Error estimation and hp-adaptive mesh refinement for discontinuous Galerkin methods
    In Z. J. Wang, editor, Adaptive High-Order Methods in Computational Fluid Dynamics - with applications in aerospace engineering, World Science Books, to appear, 2010.

  14. T. Leicht, R. Hartmann
    Goal-oriented error estimation and hp-adaptive mesh refinement for aerodynamic flows.
    49thAIAA Aerospace Sciences Meeting, submitted, 2010.

  15. C. E. Michoski, J. A. Evans, P. G. Schmitz
    Modeling Chemical Reactors I: Quiescent Reactors
    Preprint, arXiv, 2010

  16. T. Richter, T. Wick
    Fluid-Structure Interactions in ALE and Fully Eulerian Coordinates
    PAMM, submitted, 2010.

  17. T. Wick
    Fluid-Structure Interaction based on Monolithic Variational Formulations with Different Types of Pseudo-Structure Extension
    submitted, 2010

  18. T. Wick
    Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library
    IWR Report, University of Heidelberg, Germany, 2011.

  19. T. D. Young
    A qualitative semi-classical treatment of an isolated semi-polar quantum dot
    To appear in JPCS, 2011.

  20. L. Zhou, B. Yazici
    Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography in the Presence of Measurement Noise
    IEEE Trans. Image Processing, accepted, 2010

  21. L. Zhu, D. Schötzau
    A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations
    IMA J. Numer. Math., in press, 2010

Publications in 2010

  1. M. S. Alnæs, K.-A. Mardal
    On the efficiency of symbolic computations combined with code generation for finite element methods
    ACM Transactions on Mathematical Software, vol. 37, 8/1-26, 2010.

  2. W. Bangerth, M. Geiger, R. Rannacher
    Adaptive Galerkin finite element methods for the wave equation
    Computational Methods in Applied Mathematics, vol. 10, pp.3-48, 2010.

  3. A. Cangiani, R. Natalini
    A spatial model of cellular molecular trafficking including active transport along microtubules
    Journal of Theoretical Biology, vol. 267, pp. 614-625, 2010.

  4. C.-C. Chueh, M. Secanell, W. Bangerth, N. Djilali
    Multi-level Adaptive Simulation of Transient Two-phase Flow in Heterogeneous Porous Media
    Computers and Fluids, vol. 39, pp. 1585-1596, 2010.

  5. C.-C. Chueh
    Integrated adaptive numerical methods for transient two-phase flow in heterogeneous porous medi
    Ph.D. thesis, University of Victoria, 2010.

  6. T. Dally
    FE-Modelladaptivität für P-Laplace
    Master's thesis, Universität Siegen, Germany, 2010

  7. M. Freyer, A. Ale, R. Schulz, M. Zientkowska, V. Ntziachristos, K.-H. Englmeier
    Fast automatic segmentation of anatomical structures in x-ray computed tomography images to improve fluorescence molecular tomography reconstruction
    Journal of Biomedical Optics, vol. 15, pp. 036006/1-8, 2010.

  8. F. Freddi, M. Frémond
    Collision and Fractures: a predictive theory
    European Journal of Mechanics - A/Solids, vol. 29, pp. 998-1007, 2010.

  9. F. Freddi, G. Royer-Carfagni
    Regularized Variational Theories of Fracture: a Unified Approach
    Journal of the Mechanics and Physics of Solids, vol. 58, pp. 1154-1174, 2010.

  10. P. Ghysels, G. Samaey, P. Van Liedekerke, E. Tijskens, H. Ramon, D. Roose
    Multiscale modeling of viscoelastic plant tissue
    Int. J. Multisc. Comput. Engrg., vol. 8, pp. 379-396, 2010

  11. P. Ghysels, G. Samaey, P. Van Liedekerke, E. Tijskens, H. Ramon, D. Roose
    Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    Int. J. Multisc. Comput. Engrg., vol. 8, pp. 411-422, 2010

  12. V. Girault, F. Murat, A. Salgado
    Finite element discretization of Darcy's equations with pressure dependent porosity.
    M2AN, vol. 44, pp. 1155-1191, 2010

  13. M. Guven, L. Reilly-Raska, L. Zhou, B. Yazici
    Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography: Part I
    IEEE Trans. Medical Imaging, vol. 29, pp. 217-229, 2010

  14. M. Guven, L. Zhou, L. Reilly-Raska, B. Yazici
    Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography: Part II
    IEEE Trans. Medical Imaging, vol. 29, pp. 230-245, 2010

  15. R. Hartmann, J. Held, T. Leicht, F. Prill
    Discontinuous Galerkin methods for computational aerodynamics — 3D adaptive flow simulation with the DLR PADGE code
    Aerospace Science and Technology, vol. 14, pp. 512-529, 2010.

  16. R. Hartmann, P. Houston
    Error estimation and adaptive mesh refinement for aerodynamic flows
    In H. Deconinck, editor, VKI LS 2010-01: 36th CFD/ADIGMA course on hp-adaptive and hp-multigrid methods, Oct. 26-30, 2009.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium, 2010.

  17. R. Hartmann, T. Leicht
    Discontinuous Galerkin Verfahren in der Aerodynamik: Höhere Ordnung, Fehlerschätzung und Gitteradaption
    STAB Mitteilungen. 17. DGLR-Fach-Symposium der STAB, 9.-10. Nov. 2010, Berlin, 2010.

  18. T. Heister, G. Lube, G. Rapin
    On robust parallel preconditioning for incompressible flow problems
    In Numerical Mathematics and Advanced Applications, ENUMATH 2009. Springer, Berlin, 2010.

  19. T. Heister, M. Kronbichler, W. Bangerth
    Generic Finite Element programming for massively parallel flow simulations
    Eccomas CFD 2010 proceedings, 2010.

  20. T. Heister, M. Kronbichler, W. Bangerth
    Massively Parallel Finite Element Programming
    Recent Advances in the Message Passing Interface, Lecture Notes in Computer Science, vol. 6305/2010, pp. 122-131, 2010.

  21. O. P. Iliev, R. D. Lazarov, J. Willems
    Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman Equations
    Large-Scale Scientific Computing, Lectures Notes in Computer Science, vol. 5910, pp. 14-25, 2010

  22. O. P. Iliev, R. D. Lazarov, J. Willems
    Fast numerical upscaling of heat equation for fibrous materials
    J. Computing and Visualization in Science, vol. 13, pp. 275-285, 2010

  23. G. Kanschat, B. Rivière
    A strongly conservative finite element method for the coupling of Stokes and Darcy flow
    J. Computational Physics, vol. 229, pp. 5933-5943, 2010

  24. F. Keller, M. Feist, H. Nirschl, W. Dörfler
    Investigation of the nonlinear effects during the sedimentation process of a charged colloidal particle by direct numerical simulation
    Journal of Colloid and Interface Science, vol. 344, pp. 228-236, 2010.

  25. S. Kim, J. E. Pasciak
    Analysis of a Cartesian PML approximation to acoustic scattering problems in R2
    J. Math. Anal. Appl., vol. 370, pp. 168-186, 2010

  26. R. King, V. Mehrmann, W. Nitsche
    Active Flow Control—A Mathematical Challenge
    Production Factor Mathematics, Part 1, pp. 73-80, 2010

  27. R. King, V. Mehrmann, W. Nitsche
    Aktive Strömungsbeeinflussung — Eine Mathematische Herausforderung
    Produktionsfaktor Mathematik, Part 2, pp. 99-109, 2010

  28. T. Leicht, R. Hartmann
    Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations
    J. Comput. Phys., vol. 229, pp. 7344-7360, 2010.

  29. T. Leicht, R. Hartmann
    Error estimation and anisotropic mesh refinement for aerodynamic flow simulations
    In Numerical Mathematics and Advanced Applications, ENUMATH 2009, pp. 579-587. Springer, Berlin, 2010.

  30. G. Lube, B. Tews
    Optimal control of singularly perturbed advection-diffusion-reaction problems
    Math. Model. Meths. Appl. Sc., Vol. 20, No. 3, 375-395, 2010. (DOI)
    Preprint 2008-15, Institute for Numerical and Applied Mathematics, University of Göttingen, Germany, 2008

  31. C. P. T. Neuen
    A multiscale approach to the Poisson-Nernst-Planck equation
    Diploma Thesis, University of Bonn, Germany, 2010

  32. A. Nigro, C. De Bartolo, R. Hartmann, F. Bassi
    Discontinuous Galerkin solution of preconditioned Euler equations for very low Mach number flows
    Int. J. Numer. Meth. Fluids, vol. 63, no. 4, pp. 449-467, 2010.

  33. F. Prill
    Diskontinuierliche Galerkin-Methoden und schnelle iterative Löser zur Simulation kompressibler Strömungen
    PhD thesis, TU Hamburg-Harburg, 2010. (in German)
    Also available as DLR-FB 2010-17, DLR, 2010. ISSN 1434-8454.

  34. K. Rupp
    Symbolic integration at compile time in finite element methods
    Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 347-354, 2010.

  35. T. Rees, M. Stoll, A. Wathen
    All-at-once preconditioning in PDE-constrained optimization
    Kybernetica, vol. 46, pp. 341-360, 2010.

  36. T. Richter, T. Wick
    Finite Elements for Fluid-Structure Interaction in ALE and Fully Eulerian Coordinates
    Comput. Meth. Appl. Mech. Engrg., vol. 199, pp. 2633-2642, 2010.

  37. L. Röhe, G. Lube
    Analysis of a variational multiscale method for large-eddy simulation and its application to homogeneous isotropic turbulence
    Comput. Meth. Appl. Mech. Engrg., vol. 199, pp. 2331-2342, 2010.

  38. R. Schulz, A. Ale, A. Sarantopoulos, M. Freyer, E. Soehngen, M. Zientkowska, V. Ntziachristos
    Hybrid System for Simultaneous Fluorescence and X-Ray Computed Tomography
    IEEE Trans. Medical Imaging, vol. 29, pp. 465-473, 2010

  39. M. Secanell, R. Songprakorp, N. Djilali, A. Suleman
    Optimization of a proton exchange membrane fuel cell electrode assembly
    Structural and Multidisciplinary Optimization, vol. 40, pp. 563-583, 2010

  40. M. Steigemann, M. Specovius-Neugebauer, M. Fulland, H. A. Richard
    Simulation of crack paths in functionally graded materials
    Engineering Fracture Mechanics, vol. 77, pp. 2145-2157, 2010

  41. M. Stoll, A. Wathen
    All-at-once preconditioning of time-dependent PDE-constrained optimization problems
    Preprint 1017, University of Oxford, 2010.

  42. B. Turcksin, J. C. Ragusa, W. Bangerth
    Goal-oriented h-adaptivity for the multigroup SPN equations
    Nuclear Science and Engineering, vol. 165, pp. 305-319, 2010.

  43. M. Vdroljak
    On Hashin-Shtrikman bounds for mixtures of two isotropic materials
    Nonlinear Analysis: Real world applications, vol. 11, pp. 4597-4606, 2010

  44. C. Weiler
    Stromfunktionsformulierung der Navier-Stokes-Gleichungen und Methoden der Druckrekonstruktion
    Diploma Thesis, University of Heidelberg, Germany, 2010

  45. T. Wick
    Monolithic Fluid-Structure Interaction Modelling for a Long Axis Heart Valve Simulation
    Preprint, IWR Heidelberg, Germany, 2010

  46. T. D. Young, R. Armiento
    Strategies for h-adaptive refinement for a finite element treatment of harmonic oscillator Schrödinger eigenproblem
    Commun. Theor. Phys. (Beijing, China), vol. 53(6), pp. 1017-1023, 2010.

Publications in 2009

  1. W. Bangerth, A. Joshi
    Adaptive finite element methods for nonlinear inverse problems
    Proceedings of the 2009 ACM Symposium on Applied Computing, 2009.

  2. W. Bangerth, O. Kayser-Herold
    Data Structures and Requirements for hp Finite Element Software
    ACM Trans. Math. Softw., vol. 36, pp. 4/1-31, 2009.

  3. S. Bartle
    Shell finite elements with applications in biomechanics
    M.Sc. thesis, University of Cape Town, South Africa, 2009.

  4. F. Bassi, C. De Bartolo, R. Hartmann, A. Nigro
    A discontinuous Galerkin method for inviscid low Mach number flows
    J. Comput. Phys., vol. 228, no. 11, pp. 3996-4011, 2009.

  5. B. Brendel, T. Nielsen
    Selection of optimal wavelengths for spectral reconstruction in diffuse optical tomography
    J. Biomed. Optics, vol. 14, 034041/1-034041/10, 2009.

  6. C. Clason, P. Hepperger
    A forward approach to numerical data assimilation
    SIAM J. Sc. Comput., vol. 31, pp. 3090-3115, 2009

  7. B. Cockburn, G. Kanschat, and D. Schötzau
    An equal-order DG method for the incompressible Navier-Stokes equations
    J. Sci. Comput., vol. 40, pp. 188-210, 2009. DOI: 10.1007/s10915-008-9261-1

  8. A. DeSimone, L. Heltai, C. Manigrasso
    Tools for the Solution of PDEs Defined on Curved Manifolds with the deal.II Library
    Prep. SISSA 42/2009/M.

  9. F. Freddi, G. Royer-Carfagni
    From Non-Linear Elasticity to Linearized Theory: Examples Defying Intuition
    J. of Elasticity, vol. 96, pp. 1-26, 2009

  10. P. Ghysels, G. Samaey, B. Tijskens, P. Van Liedekerke, H. Ramon, D. Roose
    Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics
    Phys. Biol., vol. 6, pp. 016009/1-14, 2009

  11. S. Gladkov, M. Stiemer, B. Svendsen
    Phase-field-based modeling and simulation of solidification and deformation behavior of technological alloys
    PAMM, vol. 8, pp. 10547-10548, 2009

  12. R. Hartmann, M. Lukacova-Medvidova, F. Prill
    Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements
    Appl. Numer. Math., vol. 59, no. 8, pp. 1737-1753, 2009

  13. H. K. Hesse, G. Kanschat
    Mesh Adaptive Multiple Shooting for Partial Differential Equations. Part I: Linear Quadratic Optimal Control Problems
    Journal of Numerical Mathematics, vol. 17, pp. 195-217 2009

  14. D. Hyde, R. Schulz, D. Brooks, E. Miller, V. Ntziachristos
    Performance dependence of hybrid x-ray computed tomography/fluorescence molecular tomography on the optical forward problem
    J. Optical Soc. Amer., vol. 26, pp. 919-923, 2009

  15. T. Jetzfellner, D. Razansky, A. Rosenthal, R. Schulz, K.-H. Englmeier, V. Ntziachristos
    Performance of iterative optoacoustic tomography with experimental data
    Appl. Phys. Lett., vol. 95, pp. 013703/1-3, 2009

  16. J. Jung
    Mehrgitterverfahren für FE-Modelle 4. Ordnung
    Master's thesis, Universität Siegen, Germany, 2009

  17. S. Kim
    Analysis of a PML method applied to computation of resonances in open systems and acoustic scattering problems
    Ph.D. thesis, Texas A&M University, 2009

  18. S. Kim, J. E. Pasciak
    The computation of resonances in open systems using a perfectly matched layer
    Math. Comp., vol. 78, pp. 1375-1398, 2009

  19. N. Klein
    Modelladaptive FE-Techniken bei Elastizitätsproblemen mit großen Verformungen
    Master's thesis, Universität Siegen, Germany, 2009

  20. G. Matthies, G. Lube, L. Röhe
    Some remarks on streamline-diffusion methods for inf-sup stable discretisations of the generalised Oseen problem
    Comp. Meths. Appl. Math. 9 (2009) 4, 1-23.

  21. A. M. McMahon
    Modelling the Flow Behaviour of Gas Bubbles in a Bubble Column
    M.Sc. thesis, University of Cape Town, South Africa, 2009.

  22. S. T. Miller, F. Costanzo
    A numerical verification for an unconditionally stable FEM for elastodynamics
    Comp. Mech., vol. 43, pp. 223-237, 2009

  23. M. Olshanskii, G. Lube, T. Heister, J. Löwe
    Grad-div stabilization and subgrid pressure models for the incompressible Navier–Stokes equations
    Comp. Meth. Appl. Mech. Eng. V. 198, pp. 3975-3988, 2009

  24. J. S. Pitt, F. Costanzo
    An adaptive h-refinement algorithm for local damage models
    Algorithms, vol. 2, pp. 1281-1300, 2009

  25. L. Plagne, F. Hülsemann, D. Barthou, J. Jaeger
    Parallel expression template for large vectors
    Proceedings of the 8th workshop on Parallel/High-Performance Object-Oriented Scientific Computing, European Conference on Object-Oriented Programming, 2009.

  26. F. Prill, M. Lukacova-Medvidova, R. Hartmann
    Smoothed aggregation multigrid for the discontinuous Galerkin method
    SIAM J. Sci. Comput., vol. 31, no. 5, pp. 3503-3528, 2009.

  27. F. Prill, M. Lukacova-Medvidova, R. Hartmann
    A multilevel discontinuous Galerkin method for the compressible Navier-Stokes equations
    In A. Handlovicova, P. Frolkovic, K. Mikula and D. Sevcovic, eds., Proceedings of ALGORITMY 2009. 18th Conference on Scientific Computing Vysoke Tatry - Podbanske, Slovakia, March 15 - 20, 2009.

  28. A. Q. Raeini
    Fractured reservoir simulation using finite element method with logarithmic shape functions (in Persian)
    M. Sc. thesis, Sharif University of Technology, Iran, 2009.

  29. H. R. Ramay and M. Vendelin
    Diffusion restrictions surrounding mitochondria: a mathematical model of heart muscle fibers
    Biophys. J., vol. 97, pp. 443-452, 2009.

  30. R. Rannacher
    Adaptive Finite Element Discretization of Flow Problems for Goal-Oriented Model Reduction
    In: Computational Fluid Dynamics 2008 (H. Choi, H. G. Choi and J. Y. Yoo, eds.), pp. 31-45, Springer, 2009.

  31. D. Schötzau, L. Zhu
    A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations
    Appl. Numer. Math., vol. 59, pp. 2236-2255, 2009

  32. N. Schröder
    Simulation eines mikrofluidischen Kanals mit deal.II
    Master's thesis, Universität Siegen, Germany, 2009

  33. Y. Wang
    Adaptive mesh refinement solution techniques for the multigrid SN transport equation using a higher-order discontinuous finite element method
    Ph.D. thesis, Texas A&M University, 2009

  34. Y. Wang, W. Bangerth, J. Ragusa
    Three-dimensional h-adaptivity for the multigroup neutron diffusion equations
    Progress in Nuclear Energy, vol. 51, pp. 543-555, 2009

  35. S. Wanka
    Grundkonzepte zur Modelladaptivität bei Hindernisproblemen
    Master's thesis, Universität Siegen, Germany, 2009

  36. J. White
    Stabilized finite element methods for coupled flow and geomechanics
    PhD thesis, Stanford University, 2009.

  37. J. Willems
    Numerical Upscaling for Multiscale Flow Problems - Analysis and Algorithms
    Südwestdeutscher Verlag für Hochschulschriften, 2009.

  38. J. Willems
    Numerical upscaling for multiscale flow problems
    Ph.D. thesis, University of Kaiserslautern, Germany, 2009

  39. T. D. Young, E. Romero, and J. E. Roman
    Finite element solution of the stationary Schrödinger equation using standard computational tools
    In Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering 2009, Gijon Asturias, Spain, July 2009.

  40. T. D. Young
    Exemplifying quantum systems in a finite element basis
    In George Maroulis and Theodore E. Simos, editors, Computational Methods in Science and Engineering: Advances in Computational Science, number 1108, New York, USA, Mar 2009. Proceedings of the International Conference on Computational Methods in Sciences and Engineering, American Institute of Physics Conference Proceedings, 2009.

  41. R. Ziegler, B. Brendel, A. Schipper, R. Harbers, M. van Beek, H. Rinneberg, T. Nielsen
    Investigation of detection limits for diffuse optical tomography systems: I. Theory and experiment
    Phys. Med. Biol., vol. 54, pp. 399-412, 2009

  42. R. Ziegler, B. Brendel, H. Rinneberg, T. Nielsen
    Investigation of detection limits for diffuse optical tomography systems: II. Analysis of slab and cup geometry for breast imaging
    Phys. Med. Biol., vol. 54, pp. 413-431, 2009

  43. R. Ziegler, T. Nielsen, T. Koehler, D. Grosnick, O. Steinkellner, A. Hagen, R. Macdonald, H. Rinneberg
    Nonlinear reconstruction of absorption and fluorescence contrast from measured diffuse transmittance and reflectance of a compressed-breast-simulating phantom
    Applied Optics, vol. 48, pp. 4651-4662, 2009

Publications in 2008

  1. W. Bangerth
    A framework for the adaptive finite element solution of large-scale inverse problems
    SIAM J. Sci. Comput, vol. 30, pp. 2965-2989, 2008

  2. W. Bangerth, A. Joshi
    Adaptive finite element methods for the solution of inverse problems in optical tomography
    Inverse Problems, vol. 24, article 034011 (23 pages), 2008

  3. E. Bängtsson, B. Lund
    A comparison between two solution techniques to solve the equations of glacially induced deformation of an elastic Earth
    Int. J. Numer. Meth. Engrg., vol. 75, pp. 479-502, 2008

  4. M. Bartels, A. Joshi, J. C. Rasmussen, E. M. Sevick-Muraca, W. Bangerth
    Post-image acquisition excitation light mitigation in NIR fluorescent tomography
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2008

  5. B. Brendel, R. Ziegler, T. Nielsen
    Algebraic reconstruction techniques for spectral reconstruction in diffuse optical tomography
    Applied Optics, vol. 47, pp. 6392-6403, 2008

  6. D. Boffi, L. Gastaldi, L. Heltai, C. S. Peskin
    On the hyper-elastic formulation of the immersed boundary method
    Computer Methods in Applied Mechanics and Engineering, vol. 197, pp. 2210-2231, 2008

  7. B. Carnes, G. F. Carey
    Local boundary value problems for the error in FE approximation of non-linear diffusion systems
    Int. J. for Numer. Methods Engrg., vol. 73, pp. 665-684, 2008

  8. N. Djilali, P. C. Sui
    Transport phenomena in fuel cells: from microscale to macroscale
    Int. J. of Comput. Fluid Dynam., vol. 22, pp. 115-133, 2008

  9. R. Fosdick, F. Freddi, G. Royer-Carfagni
    Bifurcation instability in linear elasticity with the constraint of local injectivity
    J. of Elasticity, vol. 90, pp. 99-126, 2008

  10. M. Geiger
    Vergleich dreier Zeitschrittverahren zur numerischen Lösung der akustischen Wellengleichung
    Diploma thesis, University of Heidelberg, Germany, 2008

  11. P. Ghysels, G. Samaey, B. Tijskens, H. Ramon, D. Roose
    Multi-scale simulation of plant tissue deformation using a model for individual cell behavior
    Report TW 522, Department of Computer Science, K.U. Leuven, Belgium, 2008

  12. C. Giavarini, M. L. Santarelli, R. Natalini, F. Freddi
    A non linear model of sulphation of porous stones: numerical simulations and preliminary laboratory assessments
    J. of Cultural Heritage, vol. 9, pp. 14-22, 2008

  13. M. Grote, A. Schneebeli, D. Schötzau
    Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm estimates
    IMA J. Numer. Anal., vol. 28, pp. 440-468, 2008

  14. R. Hartmann
    Multitarget error estimation and adaptivity in aerodynamic flow simulations
    SIAM J. Sci. Comput., vol. 31, no. 1, pp. 708-731, 2008

  15. R. Hartmann
    Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods
    In H. Deconinck, editor, VKI LS 2008-08: 35th CFD/ADIGMA course on very high order discretization methods, Oct. 13-17, 2008.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium (2008).

  16. R. Hartmann, P. Houston
    An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations
    J. Comput. Phys., vol. 227, no. 22, pp. 9670-9685, 2008

  17. T. Heister
    Vorkonditionierunsstrategien für das stabilisierte Oseen-Problem
    Diploma thesis, University of Göttingen, Germany, 2008

  18. L. Heltai
    On the stability of the finite element immersed boundary method
    Computers and Structures, vol. 86, pp. 598-617, 2008

  19. A. Joshi, W. Bangerth, E. Sevick
    Non-Contact Fluorescence Optical Tomography with Adaptive Finite Element Methods
    In: "Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT)", Y. Censor, M. Jiang and A.K. Louis (eds.), pp. 185-200, Birkhäuser, 2008

  20. G. Kanschat
    Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems
    J. Comput. Appl. Math., vol. 218, pp. 53-60, 2008.
    (Preprint)

  21. G. Kanschat, D. Schötzau
    Energy norm a-posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations
    Int. J. Numer. Methods Fluids, vol. 57, pp. 1093-1113, 2008. DOI: 10.1002/fld.1795

  22. D. K. Khalmanova, F. Costanzo
    A space-time discontinuous Galerkin finite element method for fully coupled linear thermo-elasto-dynamic problems with strain and heat flux discontinuities
    Comput. Meth. Appl. Mech. Engrg., vol. 197, pp. 1323-1342, 2008

  23. L. Khasina
    Mathematische Behandlung von Mischungen elastoplastischer Substanzen
    PhD thesis, University of Bonn, Germany, 2008

  24. M. Kronbichler, G. Kreiss
    A hybrid level–set–Cahn–Hilliard model for two-phase flow
    Proceedings of the 1st European Conference on Microfluidics, accepted for publication. Microfluidics 2008, Bologna, Italy, December 10–12, 2008.

  25. T. Leicht, R. Hartmann
    Anisotropic mesh refinement for discontinuous Galerkin methods in two-dimensional aerodynamic flow simulations
    Int. J. Numer. Meth. Fluids, vol. 56, no. 11, pp. 2111-2138, 2008

  26. J. Löwe
    Stabilisierung durch lokale Projektion für inkompressible Strömungsprobleme
    Diploma thesis, University of Göttingen, Germany, 2008

  27. M. Neytcheva and E. Bängtsson
    Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
    ETNA, vol. 29, pp. 193-211, 2008 2008

  28. J. S. Pitt, F. Costanzo
    Theory and simulation of a brittle damage model in thermoelastodynamics
    Proceedings of the 8th World Congress on Computational Mechanics (WCCM 8), Venice, Italy, 2008

  29. K. Schmid
    Theory and numerics of a reconstruction algorithm for a problem from acoustic microscopy
    Diploma thesis, Technical University of Munich, Germany, 2008

  30. M. Secanell, K. Karan, A. Suleman, N. Djilali
    Optimal design of ultralow-platinum PEMFC anode electrodes
    Journal of The Electrochemical Society, vol. 155, pp. B125-B134, 2008

  31. M. Secanell, R. Songprakorp, A. Suleman, N. Djilali
    Multi-objective optimization of a polymer electrolyte fuel cell membrane electrode assembly
    Energy & Environmental Science, vol. 1, pp. 378-388, 2008

  32. J. A. White, R. I. Borja
    Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
    Comput. Meth. Appl. Mech. Engrg., vol. 197, pp. 4353-4366, 2008

  33. T. Wick
    Untersuchung von Kopplungsmechanismen von Fluid-Struktur-Interaktion
    Master's thesis, Universität Siegen, Germany, 2008

Publications in 2007

  1. N. Antonic, M. Vrdoljak
    Gradient methods for multiple state optimal design problems
    Ann. Univ. Ferrara, vol. 53, pp. 177-187, 2007

  2. P. F. Antonietti, L. Heltai
    Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow
    Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 4505-4520, 2007

  3. W. Bangerth, R. Hartmann, G. Kanschat
    deal.II — a general-purpose object-oriented finite element library
    ACM Transactions on Mathematical Software, vol. 33, no. 4, article 24, 2007

  4. W. Bangerth, A. Joshi, E. Sevick
    Inverse biomedical imaging using separately adapted meshes for parameters and forward model variables
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, pp. 1368-1371, 2007

  5. E. Bängtsson, M. Neytcheva
    Finite Element Block-Factorized Preconditioners
    Technical Report 2007-008, Uppsala University, Sweden, 2007

  6. D. Boffi, L. Gastaldi, L. Heltai
    On the CFL condition for the finite element immersed boundary method
    Computers & Structures, vol. 85, pp. 775-783, 2007 (DOI)

  7. D. Boffi, L. Gastaldi, L. Heltai
    Numerical stability of the finite element immersed boundary method
    Mathematical Models and Methods in Applied Sciences, vol. 17, pp. 1479-1505, 2007

  8. M. Calhoun-Lopez, M. D. Gunzburger
    The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws
    Journal of Computational Physics, vol. 225, pp. 1288-1313, 2007

  9. B. Carnes, G. F. Carey
    Estimating spatial and parameter error in parameterized nonlinear reaction-diffusion equations
    Communications in Numerical Methods in Engineering, vol. 23, pp. 835-854, 2007

  10. C. C. Douglas, M. J. Cole, P. Dostert, Y. Efendiev, R. E. Ewing, G. Haase, J. Hatcher, M. Iskandarani, C. R. Johnson, R. A. Lodder
    Dynamically identifying and tracking contaminants in water bodies
    International Conference on Computational Science ICCS 2007, vol. 4487 of Springer Lecture Notes in Computer Science, pp. 1002-1009, 2007

  11. F. Freddi, M. Frémond
    Collision and Fractures: a predictive theory
    Proceedings of the EuroSim Conference, Lubiana, Slovenia, 9-13 September, 2007

  12. P.K. Galenko, S. Reutzel, D. M. Herlach, D. Danilov, B. Nestler
    Modelling of dendritic solidification in undercooled dilute Ni-Zr melts
    Acta Materialia, vol. 55, pp. 6834-6842, 2007

  13. A. Garny, J. Cooper, P. J. Hunt
    Toward a VPH/Physiome ToolKit
    Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 2, pp. 134-147, 2010

  14. T. Ha, C. Shin
    Magnetotelluric inversion via reverse time migration algorithm of seimic data
    J. Comput. Phys., vol. 225, pp. 237-262, 2007

  15. R. Hartmann
    Adjoint consistency analysis of Discontinuous Galerkin discretizations
    SIAM J. Numer. Anal., vol. 45, no. 6, pp. 2671-2696, 2007

  16. R. Hartmann
    Error estimation and adjoint based refinement for an adjoint consistent DG discretization of the compressible Euler equations
    Int. J. Computing Science and Mathematics, vol. 1, pp. 207-220, 2007

  17. R. Hartmann
    DG discretizations for compressible flows: Adjoint consistency analysis, error estimation and adaptivity
    In R. Rannacher, E. Süli, and R. Verführt, eds., Adaptive Numerical Methods for PDEs, Mathematisches Forschungsinstitut Oberwolfach Report 29/2007, pp. 26-30, 2007

  18. P. Hepperger
    Ein POD-basierter Ansatz zur numerischen Lösung eines Datenassimilationsproblems am Beispiel einer linearen Diffusions-Konvektions-Gleichung
    Diploma thesis, Technical University of Munich, Germany, 2007

  19. Christian D. Kamm
    A posteriori error estimation in numerical methods for solving self-adjoint eigenvalue problems
    Diploma thesis, TU Berlin, Germany, 2007

  20. O. Kayser-Herold, H.G. Matthies
    A unified least-squares formulation for fluid-structure interaction problems
    Computers and Structures, vol. 85, pp. 998-1011, 2007

  21. B. Janssen,
    Vergleich verschiedener Finite-Elemente-Approximationen zur numerischen Lösung der Plattengleichung
    Diploma thesis, University of Heidelberg, Germany, 2007.

  22. A. Joshi, W. Bangerth, R. Sharma, J. Rasmussen, W. Wang, E. Sevick
    Molecular tomographic imaging of lymph nodes with NIR fluorescence
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, pp. 564-567, 2007

  23. B. Nestler, D. Danilov, A. Bracchi, Y.-L. Huang, T. Niermann, M. Seibt and S. Schneider
    A metallic glass composite: Phase-field simulations and experimental analysis of microstructure evolution
    Materials Science and Engineering: A, vol. 452-453, pp. 8-14, 2007

  24. A. Nigro
    Discontinuous Galerkin Methods for inviscid low Mach number flows
    Ph.D. thesis, University of Calabria, 2007

  25. P. J. Phillips and M. F. Wheeler
    A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case
    Computational Geosciences, vol. 11, pp. 145-158, 2007

  26. H.-J. Reinhardt, D. N. Hào, J. Frohne and F.-T. Suttmeier
    Numerical solution of Inverse Heat Conduction Problems in two spatial dimensions
    J. Inverse and Ill-Posed Problems, vol. 5, pp. 19-36, 2007

  27. L. Röhe
    Residuale Stabilisierung für Finite Elemente Verfahren bei inkompressiblen Strömungen
    Diploma thesis, University of Göttingen, Germany, 2007

  28. M. Schmidt
    Systematic discretization of input/output maps and other contributions to the control of distributed parameter systems
    Ph.D. thesis, TU Berlin, Germany, 2007

  29. M. Secanell, B. Carnes, A. Suleman, N. Djilali
    Numerical optimization of proton exchange membrane fuel cell cathodes
    Electrochimica Acta, vol. 52, pp. 2668-2682, 2007

  30. M. Secanell, K. Karan, A. Suleman, N. Djilali
    Multi-variable optimization of PEMFC cathodes using an agglomerate model
    Electrochimica Acta, vol. 52, pp. 6318-6337, 2007

  31. M. Steigemann, M. Fulland, M. Specovius-Neugebauer, H. A. Richard
    Simulation of crack paths in functionally graded materials
    PAMM, vol. 7, pp. 4030029-4030030, 2007

  32. M. Steigemann, M. Fulland
    On the computation of the pure Neumann problem in 2-dimensional elasticity
    International Journal of Fracture, vol. 146, pp. 265-277, 2007

  33. R. Ziegler, T. Nielsen, T. Koehler, D. Grosenick, O. Steinkellner, A. Hagen, R. Macdonald, H. Rinneberg
    Reconstruction of absorption and fluorescence contrast for scanning time-domain fluorescence mammography
    Optical Tomography and Spectroscopy of Tissue VII, Proc. SPIE vol. 6434, 64340H/1-11, 2007

Publications in 2006

  1. M. Allmaras
    Optimal Design of Periodic Microstructures by the Inverse Homogenization Method
    Diploma Thesis, Technical University Munich, Germany, 2006

  2. N. Antonic, M. Vrdoljak
    Sequential laminates in multiple state optimal design problems
    Mathematical Problems in Engineering, vol. 2006, pp. 1-14, 2006

  3. P. F. Antonietti
    Domain decomposition, spectral correctness and numerical testing of discontinuous Galerkin methods
    Ph.D. thesis, University of Pavia, Italy, 2007

  4. E. Bängtsson, B. Lund
    A comparison between two approaches to solve the equations of isostasy
    Institute for Parallel Processing (BIS 21++) Technical Report 2006-03, Bulgarian Academy of Sciences, 2006

  5. E. Bängtsson, B. Lund
    A comparison between two approaches to solve the equations of isostasy
    Technical Report 2006-051, Uppsala University, Sweden, 2006

  6. E. Bängtsson, M. Neytcheva
    Numerical simulations of glacial rebound using preconditioned iterative solution methods
    Applications of Mathematics, vol. 50, pp. 183-201, 2006

  7. E. Bängtsson, M. Neytcheva
    An agglomerate multilevel preconditioner for linear isostasy saddle point problems
    Proceedings of Large-Scale Scientific Computing: 5th International Conference (I. Lirkov, S. Margenov, J. Wasniewski, eds), pp. 113-120, 2006

  8. B. Carnes, N. Djilali
    Analysis of coupled proton and water transport in a PEM fuel cell using the binary friction membrane model
    Electrochimica Acta, vol. 52, pp. 1038-1052, 2007

  9. D. Danilov, B. Nestler
    Phase-field simulations of eutectic solidification using an adaptive finite element method
    International Journal of Modern Physics B, vol. 20, pp. 853-867, 2006

  10. J. Frohne
    Numerische Lösung des inversen Wärmeleitproblems in zwei Ortsdimensionen zur Identifizierung von Randbedingungen
    Diploma thesis, Universität Siegen, Germany, 2009

  11. M. Grote, A. Schneebeli, D. Schötzau
    Discontinuous Galerkin Finite Element Method for the Wave Equation
    SIAM J. Numer. Anal, vol. 44, pp. 2408-2431, 2006

  12. T. Ha, C. Shin
    Two dimensional magnetotelluric inversion via reverse time migration algorithm
    Abstracts of the SEG Annual Meeting in New Orleans, pp. 830-835, 2006

  13. R. Hartmann
    Error estimation and adjoint-based adaptation in aerodynamics
    In P. Wesseling, E. Onate, J. Periaux, eds., Proceedings of the ECCOMAS CFD 2006, Sept. 5-8, Egmond aan Zee, The Netherlands, 2006

  14. R. Hartmann
    Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations
    In G. Lube and G. Rapin, eds., Proceedings of the BAIL 2006 Conference, 2006

  15. R. Hartmann
    Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations
    Int. J. Numer. Meth. Fluids, vol. 51, pp. 1131-1156, 2006

  16. R. Hartmann, P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
    Int. J. Numer. Anal. Model., vol. 3, pp. 1-20, 2006.

  17. R. Hartmann, P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented A Posteriori Error Estimation
    Int. J. Numer. Anal. Model., vol. 3, pp. 141-162, 2006

  18. L. Heltai
    The Finite Element Immersed Boundary Method
    Ph.D. thesis, Università di Pavia, Dipartimento di Matematica "F. Casorati", 2006

  19. K. Hwang, T. Pan, A. Joshi, J. C. Rasmussen, W. Bangerth, E. Sevick-Muraca
    Influence of excitation light rejection on forward model mismatch in optical tomography
    Phys. Med. Biol., vol. 51, pp. 5889-5902, 2006

  20. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Non-contact fluorescence optical tomography with scanning patterned illumination
    Optics Express, vol. 14, pp. 6516-6534, 2006

  21. A. Joshi, W. Bangerth, K. Hwang, J. C. Rasmussen, E. Sevick-Muraca
    Fully adaptive FEM based fluorescence optical tomography from time-dependent measurements with area illumination and detection
    Med. Phys., vol. 33, pp. 1299-1310, 2006

  22. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Non-contact fluorescence optical tomography with scanning illumination
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2006, pp. 582-585, 2006

  23. A. Joshi, W. Bangerth, K. Hwang, J. C. Rasmussen, E. Sevick-Muraca
    Plane wave fluorescence tomography with adaptive finite elements
    Optics Letters, vol. 31, pp. 193-195, 2006

  24. O. Kayser-Herold
    Least-Squares Methods for the Solution of Fluid-Structure Interaction Problems
    Ph.D. thesis, TU-Braunschweig, Germany, 2006
    Available online through this link

  25. T. Leicht
    Anisotropic Mesh Refinement for Discontinuous Galerkin Methods in Aerodynamic Flow Simulations
    Diploma thesis, TU Dresden, 2006
    Available online through this link

  26. D. Oeltz
    Ein Raum-Zeit Dünngitterverfahren zur Diskretisierung parabolischer Differentialgleichungen
    Ph.D. thesis, University of Bonn, Germany, 2006

  27. M. Schmidt
    Low-dimensional I/O modeling of distributed parameter systems
    Proc. Appl. Math. Mech., vol. 6, pp. 15-18, 2006

Publications in 2005

  1. M. Anderson, W. Bangerth, G. Carey
    Analysis of parameter sensitivity and experimental design for a class of nonlinear partial differential equations
    International Journal for Numerical Methods in Fluids, vol. 48, pp. 583-605, 2005

  2. W. Bangerth, A. Joshi, E. Sevick-Muraca
    Adaptive finite element methods for increased resolution in fluorescence optical tomography
    Progress in Biomedical Optics and Imaging, vol. 6, pp. 318-329, 2005

  3. D. Boffi, L. Gastaldi, L. Heltai
    The finite element immersed boundary method: model, stability, and numerical results
    In Schrefler Papadrakakis, Onate, eds., Computational Methods for Coupled Problems in Science and Engineering, 2005

  4. D. Boffi, L. Gastaldi, L. Heltai
    Stability results and algorithmic strategies for the finite element approach to the immersed boundary method
    Proceeding of the Sixth European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2005), pages 557-566, 2005

  5. M. Calhoun-Lopez, M. D. Gunzburger
    A Finite Element, Multiresolution Viscosity Method for Hyperbolic Conservation Laws
    SIAM J. Numer. Anal., vol. 43, pp. 1988-2011, 2005

  6. B. Carnes, N. Djilali
    Systematic parameter estimation for PEM fuel cell models
    Journal of Power Sources, vol. 144, pp. 83-93, 2005

  7. B. Cockburn, G. Kanschat, D. Schötzau
    A locally conservative LDG method for the incompressible Navier- Stokes equations
    Math. Comput., vol. 74, pp. 1067-1095, 2005

  8. B. Cockburn, G. Kanschat, D. Schötzau
    The Local Discontinuous Galerkin Method for Linear Incomressible Fluid Flow: a Review
    Comput. & Fluids, vol. 34, pp. 491-506, 2005

  9. R. Hartmann
    Discontinuous Galerkin methods for compressible flows: higher order accuracy, error estimation and adaptivity
    In H. Deconinck and M. Ricchiuto, editors, VKI LS 2006-01: CFD - Higher Order Discretization Methods, November 14-18, 2005, Rhode Saint Genese, Belgium.
    von Karman Institute for Fluid Dynamics (2005)

  10. A. Joshi
    Adaptive finite element methods for fluorescence enhanced optical tomography
    Ph.D. thesis, Texas A&M University, 2005

  11. A. Joshi, W. Bangerth, A. B. Thompson, E. Sevick-Muraca
    Experimental fluorescence optical tomography using adaptive finite elements and planar illumination with modulated excitation light
    Progress in Biomedical Optics and Imaging, vol. 6, pp. 351-358, 2005

  12. G. Kanschat
    Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems
    J. Sci. Comput., vol. 22, pp. 381-394, 2005

  13. O. Kayser-Herold, H. G. Matthies
    Least squares finite element methods for fluid-structure interaction problems
    Computers & Structures, vol. 83, pp. 191-207, 2005

  14. R. Li
    On multi-mesh h-adaptive methods
    J. Sci. Comput., vol. 24, pp. 321-341, 2005
    (This paper uses AFEPack which in turn uses deal.II's linear algebra library.)

  15. M. Mu
    PDE.MART: A network-based problem-solving environment for PDEs
    ACM Trans. Math. Software, vol. 31, pp. 508-531, 2005

  16. B. Nestler, D. Danilov, P. Galenko
    Crystal growth of pure substances: Phase-field simulations in comparison with analytical and experimental results
    Journal of Computational Physics, vol. 207, pp. 221-239, 2005

  17. T. Nielsen, T. Koehler, M. van der Mark, G. t'Hooft
    Fully 3D reconstruction of attenuation for diffuse optical tomography using a finite element model
    Nuclear Science Symposium Record, vol. 4, pp. 2283-2285, 2005

  18. Q. Ouyang, K. Xiu
    Simulation Study of Reduced Self-Heating in Novel Thin-SOI Vertical Bipolar Transistors
    Simulation of Semiconductor Processes and Devices, pp. 55-58, 2005

  19. M. Polner
    Galerkin least-squares stabilization operators for the Navier-Stokes equations, A unified approach
    Ph.D. thesis, University of Twente, The Netherlands, 2005

  20. R. B. Schulz, G. Echner, H. Ruehle, W. Stroh, J. Vierling, T. Vogt, J. Peter, W. Semmler
    Development of a fully rotational non-contact fluorescence tomographer for small animals
    IEEE Micro-imaging Conference, IEEE Nuclear Science Symposium Conference Record, pp. 2391-2393, 2005

  21. R. B. Schulz, J. Peter, W. Semmler, C. D'andrea, G. Valentini, R. Cubeddu
    Quantifiability and Image Quality in Noncontact Fluorescence Tomography
    in: Photon Migration and Diffuse-Light Imaging II, K. Licha and R. Cubeddu (eds.), SPIE press, 2005

Publications in 2004

  1. W. Bangerth,
    A framework for the adaptive finite element solution of large inverse problems. I. Basic techniques
    ICES Report 2004-39, 2004.

  2. W. Bangerth, M. Grote, C. Hohenegger
    Finite Element Method For Time Dependent Scattering: Nonreflecting Boundary Condition, Adaptivity, and Energy Decay
    Computer Methods in Applied Mechanics and Engineering, vol. 193, pp. 2453-2482, 2004

  3. D. Boffi, L. Gastaldi, L. Heltai
    A finite element approach to the immersed boundary method
    Progress in Engineering Computational Technology, vol. 12, pp. 271-298, 2004

  4. G. Carey, M. Anderson, B. Carnes, B. Kirk
    Some aspects of adaptive grid technology related to boundary and interior layers
    Journal of Computational and Applied Mathematics, vol. 166, pp. 55-86, 2004

  5. G. Carey, W. Barth, J. A. Woods, B. Kirk, M. Anderson, S. Chow, W. Bangerth
    Modeling error and constitutive relations in simulation of flow and transport
    International Journal for Numerical Methods in Fluids, vol. 46, pp. 1211-1236, 2004

  6. S. Chow, G. F. Carey, M. L. Anderson
    Finite element approximations of a glaciology problem.
    ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), vol. 38, pp. 741-756, 2004.

  7. R. Hartmann, P. Houston
    Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
    in M. Feistauer, V. Doleji, P. Knobloch and K. Najzar, editors, Numerical Mathematics and Advanced Applications, ENUMATH 2003, pp. 410-419, Springer-Verlag, 2004
    (BibTeX entry)

  8. U. Hasler, A. Schneebeli, D. Schötzau
    Mixed finite element approximation of incompressible MHD problems based on weighted regularization
    Applied Numerical Mathematics, vol. 51, pp. 19-45, 2004

  9. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Adaptive finite element modeling of optical fluorescence-enhanced tomography
    Optics Express, vol. 12, pp. 5402-5417, 2004

  10. A. Joshi, A. B. Thompson, W. Bangerth, E. Sevick-Muraca
    Adaptive finite element methods for forward modeling in fluorescence enhanced frequency domain optical tomography
    Proceedings of the 2004 OSA Biomedical Topical Meetings, 2004

  11. A. Joshi, W. Bangerth, A. B. Thompson, E. Sevick-Muraca
    Adaptive finite element methods for fluorescence enhanced frequency domain optical tomography: Forward imaging problem
    Proceedings of the 2004 IEEE International Symposium on Biomedical Imaging, 2004

  12. G. Kanschat
    Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
    Comput. & Struct., vol. 82, pp. 2437-2445, 2004

  13. J. Ramirez, M. Laso
    Micro-macro simulations of three-dimensional plane contraction flow
    Modelling Simul. Mater. Sci. Eng., vol. 12, pp. 1293-1306, 2004

  14. R. B. Schulz, W. Bangerth, J. Peter, W. Semmler
    Independent modeling of fluorescence excitation and emission with the finite element method
    Proceedings of the OSA BIOMED topical meeting, Miami, Florida, 14-18 April 2004

  15. E. Zander, J. R. Weimar, H. G. Mathies
    Simulation of High-Frequency Atmospheric Gas Discharges
    PAMM, vol. 4, pp. 428-429, 2004

Publications in 2003

  1. S. Achatz
    Adaptive finite Dünngitter-Elemente höherer Ordnung für elliptische partielle Differentialgleichungen mit variablen Koeffizienten
    Ph.D. thesis, TU Munich, 2003

  2. W. Bangerth
    Starting threads in a C++ compatible fashion
    C/C++ Users Journal, October 2003, pp. 21-24

  3. W. Bangerth, R. Rannacher
    Adaptive Finite Element Methods for Solving Differential Equations
    Book, Birkhäuser, 2003

  4. M. Calhoun-Lopez
    Numerical solutions of hyperbolic conservation laws: Incorporating multi-resolution viscosity methods into the finite element framework
    Ph.D. thesis, Iowa State University, 2003

  5. B. Carnes
    Adaptive finite elements for nonlinear transport equations
    Ph.D. thesis, ICES, The University of Texas at Austin, 2003

  6. B. Cockburn, G. Kanschat, D. Schötzau
    LDG methods for Stokes flow problems
    in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003
    (Abstract )

  7. B. Cockburn, G. Kanschat, D. Schötzau
    The Local Discontinuous Galerkin Method for the Oseen Equations
    Math. Comput., vol. 73, pp. 569-593, 2003
    (Abstract)

  8. J. Gopalakrishnan, G. Kanschat
    Application of unified DG analysis to preconditioning DG methods
    in Bathe: Computational Fluid and Solid Mechanics, pp. 1943-1945, 2003

  9. J. Gopalakrishnan, G. Kanschat
    A Multilevel Discontinuous Galerkin Method
    Numer. Math., vol. 95, pp. 527-550, 2003
    (Abstract, BibTeX entry, Postscript)

  10. Jay Gopalakrishnan, G. Kanschat
    Multi-level Preconditioners for the interior penalty method
    in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003
    (Abstract)

  11. R. Hartmann, P. Houston
    Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
    in T. Y. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pp. 579-588, Springer, 2003
    (Abstract, BibTeX entry)

  12. R. Hartmann, P. Houston
    Goal-Oriented A Posteriori Error Estimation for Compressible Fluid Flows
    In F. Brezzi, A. Buffa, S. Corsaro and A. Murli, editors, Numerical Mathematics and Advanced Applications, pp. 775-784, Springer, 2003
    (Abstract, BibTeX entry)

  13. G. Kanschat
    Discontinuous Galerkin Finite Element Methods for Advection-Diffusion Problems
    Habilitationsschrift, Universität Heidelberg, 2003

  14. G. Kanschat
    Preconditioning discontinuous Galerkin saddle point systems
    in Bathe: Computational Fluid and Solid Mechanics, pp. 2016-2018, 2003

  15. G. Kanschat
    Preconditioning methods for local discontinuous {G}alerkin Discretizations
    SIAM J. Sci. Comput., vol. 25, pp. 815-831, 2003

  16. A. Schneebeli, D. Schötzau
    Mixed finite elements for incompressible magneto-hydrodynamics
    Comptes Rendus Mathematique, vol. 337, pp. 71-74, 2003

  17. M. Stadler, G. A. Holzapfel, J. Korelc
    Cn continuous modelling of smooth contact surfaces using NURBS and application to 2D problems
    International Journal for Numerical Methods in Engineering, vol. 57, pp. 2177-2203, 2003

Publications in 2002

  1. W. Bangerth
    Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations
    Ph.D. thesis, University of Heidelberg, 2002
    (Abstract, BibTeX entry)

  2. S. Benkler
    Numerical solution of the nonlinear Hartree equation.
    Diploma thesis, ETH Zurich, Switzerland, 2002.

  3. B. Cockburn, G. Kanschat, D. Schötzau
    The local discontinuous Galerkin method in incompressible fluid flow
    in Mang, Rammerstorfer, Eberhardsteiner: Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, 2002
    (Abstract, BibTeX entry, Postscript)

  4. B. Cockburn, G. Kanschat, D. Schötzau, C. Schwab
    Local discontinuous Galerkin methods for the Stokes system
    SIAM J. Numer. Anal., vol. 40, pp. 319-343, 2002
    (Abstract, BibTeX entry, Postscript)

  5. R. Hartmann
    Adaptive Finite Element Methods for the Compressible Euler Equations
    Ph.D. thesis, University of Heidelberg, 2002
    (Abstract, BibTeX entry)

  6. R. Hartmann, P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations
    J. Comput. Phys., vol. 183, pp. 508-532, 2002.
    (Abstract, BibTeX entry)

  7. R. Hartmann, P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
    SIAM J. Sci. Comput., vol. 24, pp. 979-1004, 2002.
    (Abstract, BibTeX entry)

  8. G. Kanschat, Rolf Rannacher
    Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
    J. Numer. Math., vol. 10, pp. 249-274, 2002
    (Abstract, BibTeX entry, Postscript)

  9. F. Mohamed, M. Troyer, G. Blatter
    Interaction of vortices in superconductors with kappa close to 1/sqrt(2),
    Phys. Rev. B, vol. 65, article 224504, 2002.

  10. T. Shardlow
    A coupled Cahn-Hilliard particle system
    Electronic Journal of Differential Equations, vol. 2002, No. 73, pp. 1-21, 2002

  11. M. Stadler, G. A. Holzapfel
    A novel approach for smooth contact surfaces using NURBS: application to the FE simulation of stenting
    Proceedings of the 13th Conference of the European Society of Biomechanics, 1-4 September 2002, Wroclaw, Poland.

Publications in 2001

  1. A. Barinka, T. Barsch, P. Charton, A. Cohen, S. Dahlke, W. Dahmen, K. Urban
    Adaptive wavelet schemes for elliptic problems—implementation and numerical experiments
    SIAM J. Sci. Comput., vol. 23, pp. 910-939, 2001

  2. B. Cockburn, G. Kanschat, Ilaria Perugia, D. Schötzau
    Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
    SIAM J. Numer. Anal. 39 (1), pp. 264-285, 2001
    (Abstract, BibTeX entry, Postscript)

  3. T. Richter
    Funktionalorientierte Gitteroptimierung bei der Finite-Elemente Approximation elliptischer Differentialgleichungen
    Diploma thesis, University of Heidelberg, 2001 (in German)
    (Abstract)

Publications in 2000

  1. W. Bangerth
    Mesh Adaptivity and Error Control for a Finite Element Approximation of the Elastic Wave Equation
    Proceedings of the Waves2000 conference, held in Santiago de Compostela, Spain, July 10-14, 2000
    (Abstract, BibTeX entry)

  2. W. Bangerth
    Multi-threading support in deal.II
    Preprint 2000-11 (SFB 359), IWR Heidelberg, October 1999.
    This paper is also available online.
    (Abstract, BiBTeX entry)

  3. W. Bangerth
    Using Modern Features of C++ for Adaptive Finite Element Methods: Dimension-Independent Programming in deal.II
    Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland, 2000
    This paper is also available online.
    (Abstract, BibTeX entry)

  4. R. Hartmann
    Adaptive FE-Methods for Conservation Equations
    In Heinrich Freistühler and Gerald Warnecke, eds. Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, 2000.
    International series of numerical mathematics 141: 495-503. Birkhäuser, Basel 2001.
    (Abstract, BibTeX entry)

  5. F. Mohamed
    Interaction of vortices in superconductors with kappa close to 1/sqrt(2),
    Diploma thesis, ETH Zurich, 2000.

Publications in 1999

  1. W. Bangerth and G. Kanschat
    Concepts for object-oriented finite element software - the deal.II library
    Preprint 99-43 (SFB 359), IWR Heidelberg, October 1999.
    (Abstract, BibTeX entry)

  2. W. Bangerth, R. Rannacher
    Adaptive finite element approximation of the acoustic wave equation: Error estimation and mesh adaptation
    East-West Journal of Numerical Mathematics, vol. 7, no. 4 (1999), pp. 263-282
    (Abstract, BibTeX entry)

  3. W. Bangerth, R. Rannacher
    Adaptive finite element techniques for the acoustic wave equation
    Journal of Computational Acoustics, vol. 9, no. 2 (2001), pp. 575-591
    (Abstract, BibTeX entry)

  4. S. Nauber
    Adaptive Finite Elemente Verfahren für selbstadjungierte Eigenwertprobleme
    Diploma thesis, University of Heidelberg, 1999 (in German)

Publications in 1998

  1. W. Bangerth
    Adaptive Finite-Elemente-Methoden zur Lösung der Wellengleichung mit Anwendung in der Physik der Sonne
    Diploma thesis, University of Heidelberg, 1998 (in German)
    (Abstract, BibTeX entry)


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