Abstract:

In this thesis, the dual weighted residual a posteriori error estimator is studied for error estimation in arbitrary (linear) functionals. The main focus is the construction of optimal meshes for the solution of elliptic differential equations. The quality of the meshes is measured by the effort to gain a suitable solution of the differential equation and by the effort to generate the mesh. The dual weighted error estimator is used for hierarchical mesh refinemant. One chapter discusses the application of the error estimator for optimal anisotropic meshes.



Thomas Richter
2001-01-01