| Bibliography | Pfister, Daniel: Implementation of a parallel multigrid solver for the solution of higher-dimensional PDEs on anisotropic grids in DUNE.
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology, Bachelor Thesis (2016).
50 pages, english.
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| CR-Schema | G.1.0 (Numerical Analysis General)
G.1.3 (Numerical Linear Algebra)
G.1.8 (Partial Differential Equations)
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| Abstract | 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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Full text and
other links | PDF (4732761 Bytes)
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| Department(s) | University of Stuttgart, Institute of Parallel and Distributed Systems, Simulation of Large Systems
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| Superviser(s) | Pflüger, Jun.-Prof. Dirk; Heene, Marion; Müthing, Sr. Steffen |
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| Entry date | September 26, 2018 |
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