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 This page is no longer maintained.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
Adaptive isogeometric modeling of propagating strong discontinuities in heterogeneous materials
Linear and Nonlinear Eigenvalue Problems
Modeling and Simulation of Composite Materials
Numerical Homogenization
Numerical homogenization refers to a class of numerical methods for PDEs with multiscale data aiming at the determination of macroscopic (effective) approximations that account for the complexity of the microstructure. The possible added value of computational homogenization when compared with classical analytical techniques is its applicability, reliability, and accuracy in the absence of strong (unrealistic) assumptions such as periodicity and scale separation. We are developing new methods with the aims of efficiency and reliability for representative classes of multiscale problems in the context of high-contrast, strong anisotropy and uncertainty.