Diploma and Master Theses (authored and supervised):
"Robust Algebraic Solvers for Electromagnetics";
Supervisor: J. Schöberl;
Institut für Analysis und Scientific Computing,
final examination: 2020-02-25.
An algorithm to efficiently solve the magnetostatic case of Maxwell's equationsdiscretized by Nédélec elements is presented.It is based on an algebraic multigrid (AMG) method used as a preconditioner tothe conjugate gradient method.One main component is the prolongation proposed in [Reitzinger&Schöberl 2002] to properly treatthe kernel of the \curl operator.This prolongation is then smoothed with techniques similar to [Bochev et. al. 2003] toobtain better convergence and robustness in the regularization parameter of themagnetostatic problem.The main contribution of this thesis is to obtain improved robustness withrespect to big jumps in permeability by introducing a new coarsening algorithm.
Created from the Publication Database of the Vienna University of Technology.