p-Type algebraic multigrid for high order hierarchical FEM for Maxwell's equations

Masterarbeit, Projektseminar, Bachelorarbeit

In this work, a novel p-type AMG formulation for the solution of Maxwell’s equations will be developed. The method will be based on the high order hierarchic approximation space of Zaglmayer in order to derive appropriate smoothing, restriction and interpolation operators. The method is to be implemented in parallel the platform, PETSC. Furthermore, the numerical performance of the method will be analyzed for relevant applications in a HPC environment.

Electromagnetic field patterns computed at two different frequencies.