2019/11/21 by Martin Neumüller, Neumüller, Martin, Martin Schwalsberger +1 · 1 citation
Engineering · #65M55 #Advanced Numerical Methods in Computational Mathematics #Computational Engineering #Electromagnetic Simulation and Numerical Methods #FOS: Computer and information sciences #FOS: Mathematics #Finance #Numerical Analysis (math.NA) #Numerical methods in engineering #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.1911.09548
openalex publication_date 2019/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We expand the applicabilities and capabilities of an already existing space-time parallel method based on a block Jacobi smoother. First we formulate a more detailed criterion for spatial coarsening, which enables the method to deal with unstructured meshes and varying material parameters. Further we investigate the application to the eddy-current equation, where the non-trivial kernel of the curl operator causes severe problems. This is remedied with a new nodal auxiliary space correction. We proceed to identify convergence rates by local Fourier analysis and numerical experiments. Finally, we present a numerical experiment which demonstrates its excellent scaling properties.