Research Group of Prof. Dr. Daniel Peterseim
This is a former research group of the institute. This page is no longer maintained.
Research Projects
Adaptive Algorithms for Partial Differential Equations
Nowadays, a posteriori error estimation is commonly used for the control of adaptive mesh refinement or, in general, the control of the adaptive enrichment of finite element spaces. We develop estimators and refinement/enrichment strategies with the aim to minimize computational complexity. We emphasize, however, that for many singularly perturbed or parameter dependent problems the condition “the mesh width has to be sufficiently small” still arises. The generation of optimal initial meshes is, hence, of utmost importance and we develop new concepts for this purpose.
Adaptive isogeometric modeling of propagating strong discontinuities in heterogeneous materials
Linear and Nonlinear Eigenvalue Problems
Modeling and Simulation of Composite Materials
Numerical Homogenization
