Publikation: A Weak Scalability Analysis For Optimized Schwarz Methods
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2019
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Bachelorarbeit
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Zusammenfassung
Optimized Schwarz Methods (OSM) are Domain Decomposition (DD) methods for solving efficiently PDEs by splitting the computational domain in subdomains and solve iteratively through the resulting subproblems. The more subdomains are used, the greater the gain from parallelization can be, but on the other hand the slower the convergence of the OSM can be, which results in the question of scalability. In this thesis we show via Fourier analysis that OSMs for certain elliptic problems are weakly scalable, i.e., that they converge independent of the number of subdomains used.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Domain Decomposition, Elliptic PDEs, Weak Scalability, Optimized Schwarz Methods, Fourier Analysis
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ISO 690
KARTMANN, Michael, 2019. A Weak Scalability Analysis For Optimized Schwarz Methods [Bachelor thesis]. Konstanz: Universität KonstanzBibTex
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<dcterms:abstract xml:lang="eng">Optimized Schwarz Methods (OSM) are Domain Decomposition (DD) methods for solving efficiently PDEs by splitting the computational domain in subdomains and solve iteratively through the resulting subproblems. The more subdomains are used, the greater the gain from parallelization can be, but on the other hand the slower the convergence of the OSM can be, which results in the question of scalability. In this thesis we show via Fourier analysis that OSMs for certain elliptic problems are weakly scalable, i.e., that they converge independent of the number of subdomains used.</dcterms:abstract>
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Prüfungsdatum der Dissertation
Hochschulschriftenvermerk
Konstanz, Universität Konstanz, Bachelorarbeit, 2020
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Ja
