Junior Research Group: Numerical analysis of multiscale methods
This workgroup is concerned with the sign and numerical analysis of computation methods for partial differential equations.
A special focus is on multiscale methods for partial differential equations with general rough and unstructured coefficients. Materials with multiscale structures appear in many applications and pose a huge challenge for numerical simulations because fine material features cannot be computationally resolved even with modern computer resources. Numerical multiscale methods rely on the decomposition of the exact solution into a macroscopic and a fine-scale contribution. Hence, the macroscopic or global behavior of the solution can be faithfully approximated with a coarse mesh.
In our research, we aim to design and understand new multiscale methods for problems with nonlinearities, randomness and multiscale dynamics. Applications include wave propagation in heterogeneous media, which can lead to unusual and astonishing effects such as negative refraction, flat lenses, etc.
Within the Emmy-Noether project "Numerical methods for nonlinear, random und dynamic multiscale problems" a PhD positions is vacant. If you are interested and have very good knowledge of numerical methods for partial differential equations (in particular finite element method), please contact Dr. Barbara Verfürth for details on the project and the required qualifications.
|Dr. Amina Benaceur||+49 721 608 email@example.com|
|JProf. Dr. Barbara Verfürth||+49 721 608 firstname.lastname@example.org|
|Summer Semester 2022||Adaptive Finite Elemente Methoden||Vorlesung|
|Winter Semester 2021/22||Numerical Analysis of Helmholtz Problems||Vorlesung|
|Summer Semester 2021||Analytical and Numerical Homogenization||Vorlesung|
|Winter Semester 2020/21||Seminar (Numerik partieller Dgl)||Seminar|