Bachelorarbeit BCLR-2016-39

Pfister, Daniel: Implementation of a parallel multigrid solver for the solution of higher-dimensional PDEs on anisotropic grids in DUNE.
Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik, Bachelorarbeit (2016).
50 Seiten, englisch.
CR-Klassif.G.1.0 (Numerical Analysis General)
G.1.3 (Numerical Linear Algebra)
G.1.8 (Partial Differential Equations)

In this bachelor thesis a parallel geometric multigrid solver is extended to be used with the sparse grid combination technique. To test this method the stationary advection-diffusion equation is used, which is discretized by the finite volume element method. Suitable multigrid components are chosen and their convergence and parallel efficiency is tested in numerical experiments. The implementation uses the Distributed and Unified Numerics Environment (DUNE) for the solver and discretization. The SG++ Distributed Combigrid module is employed for the combination technique. A small weak scaling study is conducted to measure the influence of the aspect ratio of the grids.

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Abteilung(en)Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Simulation großer Systeme
BetreuerPflüger, Jun.-Prof. Dirk; Heene, Marion; Müthing, Sr. Steffen
Eingabedatum26. September 2018
   Publ. Informatik