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 |
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If you write a paper using results obtained with the help of deal.II, please cite one or both of the following references:
@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} }
@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} }
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:
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
G. Kanschat
Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
Comput. & Struct., vol. 82, pp. 2437-2445, 2004
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:
Special Issue: SPEC CPU2006 analysis (Editor: John Henning)
ACM SIGARCH Computer Architecture News, vol. 35, issue 1, 2007.
F. Alouges, A. DeSimone, L. Heltai
Numerical strategies for stroke optimization of
axisymmetric microswimmers
Mathematical Models and Methods in Applied Sciences, vol. 3, 2011.
M. Arroyo, A. DeSimone, L. Heltai
The role of membrane viscosity in the dynamics of fluid
membranes
arXiv:1007.4934, submitted, 2010.
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.
L. Blank, L. Sarbu, M. Stoll
Preconditioning for Allen-Cahn variational
inequalities with non-local constraints
submitted. Preprint 11/2010, Mathematik, Uni Regensburg, 2010.
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.
A. Ginzburg
Introduction to Geophysics (in Hebrew)
The Open University of Israel, 2011.
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.
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.
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.
B. Janssen, G. Kanschat
Adaptive multilevel methods with local smoothing
submitted, 2010.
B. Janssen,
T. Wick
Block Preconditioning with Schur Complements
for Monolithic Fluid-Structure Interactions
Eccomas CFD 2010 proceedings, submitted, 2010.
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
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.
T. Leicht, R. Hartmann
Goal-oriented error estimation and hp-adaptive mesh
refinement for aerodynamic flows.
49thAIAA Aerospace Sciences Meeting, submitted, 2010.
C. E. Michoski, J. A. Evans, P. G. Schmitz
Modeling Chemical Reactors I: Quiescent Reactors
Preprint, arXiv, 2010
T. Richter, T. Wick
Fluid-Structure Interactions in ALE and
Fully Eulerian Coordinates
PAMM, submitted, 2010.
T. Wick
Fluid-Structure Interaction based on Monolithic Variational
Formulations with Different Types of Pseudo-Structure Extension
submitted, 2010
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.
T. D. Young
A qualitative semi-classical treatment of an isolated
semi-polar quantum dot
To appear in JPCS, 2011.
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
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
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.
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.
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.
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.
C.-C. Chueh
Integrated adaptive numerical methods for transient
two-phase flow in heterogeneous porous medi
Ph.D. thesis, University of Victoria, 2010.
T. Dally
FE-Modelladaptivität für P-Laplace
Master's thesis, Universität Siegen, Germany, 2010
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.
F. Freddi, M. Frémond
Collision and Fractures: a predictive theory
European Journal of Mechanics - A/Solids, vol. 29, pp. 998-1007, 2010.
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.
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
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
V. Girault, F. Murat, A. Salgado
Finite element discretization of Darcy's equations with
pressure dependent porosity.
M2AN, vol. 44, pp. 1155-1191, 2010
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
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
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.
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.
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.
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.
T. Heister, M. Kronbichler, W. Bangerth
Generic Finite Element programming for massively parallel
flow simulations
Eccomas CFD 2010 proceedings, 2010.
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.
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
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
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
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.
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
R. King, V. Mehrmann, W. Nitsche
Active Flow Control—A Mathematical Challenge
Production Factor Mathematics, Part 1, pp. 73-80, 2010
R. King, V. Mehrmann, W. Nitsche
Aktive Strömungsbeeinflussung — Eine
Mathematische Herausforderung
Produktionsfaktor Mathematik, Part 2, pp. 99-109, 2010
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.
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.
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
C. P. T. Neuen
A multiscale approach to the Poisson-Nernst-Planck equation
Diploma Thesis, University of Bonn, Germany, 2010
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.
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.
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.
T. Rees, M. Stoll, A. Wathen
All-at-once preconditioning in PDE-constrained
optimization
Kybernetica, vol. 46, pp. 341-360, 2010.
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.
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.
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
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
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
M. Stoll, A. Wathen
All-at-once preconditioning of time-dependent PDE-constrained
optimization problems
Preprint 1017, University of Oxford, 2010.
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.
M. Vdroljak
On Hashin-Shtrikman bounds for mixtures of two isotropic
materials
Nonlinear Analysis: Real world applications, vol. 11, pp. 4597-4606, 2010
C. Weiler
Stromfunktionsformulierung der
Navier-Stokes-Gleichungen und Methoden der
Druckrekonstruktion
Diploma Thesis, University of Heidelberg, Germany, 2010
T. Wick
Monolithic Fluid-Structure Interaction Modelling for
a Long Axis Heart Valve Simulation
Preprint, IWR Heidelberg, Germany, 2010
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.
W. Bangerth, A. Joshi
Adaptive finite element methods for nonlinear inverse
problems
Proceedings of the 2009 ACM Symposium on Applied Computing, 2009.
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.
S. Bartle
Shell finite elements with applications in biomechanics
M.Sc. thesis, University of Cape Town, South Africa, 2009.
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.
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.
C. Clason, P. Hepperger
A forward approach to numerical data assimilation
SIAM J. Sc. Comput., vol. 31, pp. 3090-3115, 2009
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
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.
F. Freddi, G. Royer-Carfagni
From Non-Linear Elasticity to Linearized Theory:
Examples Defying Intuition
J. of Elasticity, vol. 96, pp. 1-26, 2009
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
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
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
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
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
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
J. Jung
Mehrgitterverfahren für FE-Modelle 4. Ordnung
Master's thesis, Universität Siegen, Germany, 2009
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
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
N. Klein
Modelladaptive FE-Techniken bei Elastizitätsproblemen
mit großen Verformungen
Master's thesis, Universität Siegen, Germany, 2009
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.
A. M. McMahon
Modelling the Flow Behaviour of Gas Bubbles in a
Bubble Column
M.Sc. thesis, University of Cape Town, South Africa, 2009.
S. T. Miller, F. Costanzo
A numerical verification for an unconditionally
stable FEM for elastodynamics
Comp. Mech., vol. 43, pp. 223-237, 2009
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
J. S. Pitt, F. Costanzo
An adaptive h-refinement algorithm for local damage
models
Algorithms, vol. 2, pp. 1281-1300, 2009
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.
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.
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.
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.
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.
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.
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
N. Schröder
Simulation eines mikrofluidischen Kanals mit deal.II
Master's thesis, Universität Siegen, Germany, 2009
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
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
S. Wanka
Grundkonzepte zur Modelladaptivität bei Hindernisproblemen
Master's thesis, Universität Siegen, Germany, 2009
J. White
Stabilized finite element methods for coupled flow
and geomechanics
PhD thesis, Stanford University, 2009.
J. Willems
Numerical Upscaling for Multiscale Flow Problems - Analysis
and Algorithms
Südwestdeutscher Verlag für Hochschulschriften, 2009.
J. Willems
Numerical upscaling for multiscale flow problems
Ph.D. thesis, University of Kaiserslautern, Germany, 2009
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.
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.
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
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
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
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
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
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
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
B. Brendel, R. Ziegler, T. Nielsen
Algebraic reconstruction techniques for spectral
reconstruction in diffuse optical tomography
Applied Optics, vol. 47, pp. 6392-6403, 2008
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
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
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
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
M. Geiger
Vergleich dreier Zeitschrittverahren zur numerischen
Lösung der akustischen Wellengleichung
Diploma thesis, University of Heidelberg, Germany, 2008
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
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
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
R. Hartmann
Multitarget error estimation and adaptivity in aerodynamic flow simulations
SIAM J. Sci. Comput., vol. 31, no. 1, pp. 708-731, 2008
R. Hartmann
Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods
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Theory and numerics of a reconstruction algorithm for a
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M. Schmidt
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Ph.D. thesis, TU Berlin, Germany, 2007
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A. Joshi, W. Bangerth, A. B. Thompson, E. Sevick-Muraca
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Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
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Starting threads in a C++ compatible fashion
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Incorporating multi-resolution viscosity methods into the
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Ph.D. thesis, Iowa State University, 2003
B. Carnes
Adaptive finite elements for nonlinear transport equations
Ph.D. thesis, ICES, The University of Texas at Austin, 2003
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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)
R. Hartmann
Adaptive Finite Element Methods for the Compressible
Euler Equations
Ph.D. thesis, University of Heidelberg, 2002
(Abstract,
BibTeX entry)
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)
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)
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)
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.
T. Shardlow
A coupled Cahn-Hilliard particle system
Electronic Journal of Differential Equations,
vol. 2002, No. 73, pp. 1-21, 2002
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.
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
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)
T. Richter
Funktionalorientierte Gitteroptimierung bei der Finite-Elemente
Approximation elliptischer Differentialgleichungen
Diploma thesis, University of Heidelberg, 2001 (in German)
(Abstract)
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)
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)
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)
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)
F. Mohamed
Interaction of vortices in superconductors with
kappa close to 1/sqrt(2),
Diploma thesis, ETH Zurich, 2000.
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)
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)
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)
S. Nauber
Adaptive Finite Elemente Verfahren für
selbstadjungierte Eigenwertprobleme
Diploma thesis, University of Heidelberg, 1999 (in German)
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)