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Development and Analysis of Sparse Matrix Concepts for Finite Element Approximation on general Cells

  • In engineering and computing, the finite element approximation is one of the most well-known computational solution techniques. It is a great tool to find solutions for mechanic, fluid mechanic and ecological problems. Whoever works with the finite element method will need to solve a large system of linear equations. There are different ways to find a solution. One way is to use a matrix decomposition technique such as LU or QR. The other possibility is to use an iterative solution algorithm like Conjugate Gradients, Gauß-Seidel, Multigrid Methods, etc. This paper will focus on iterative solvers and the needed storage techniques...

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Document Type:Article
Author: Tobias Pick, Bjoern-Ove Heimsund, Peter Milbradt
DOI (Cite-Link):https://doi.org/10.25643/bauhaus-universitaet.250Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20111215-2500Cite-Link
Date of Publication (online):2004/12/16
Year of first Publication:2004
Release Date:2004/12/16
Institutes:Fakultät Bauingenieurwesen / Professur Informatik im Bauwesen
GND Keyword:Finite-Elemente-Methode; Physikalisches Verfahren; Bandmatrix
Source:International Conference on Computing in Civil and Building Engineering , ICCCBE , 10 , 2004.06.02-04 , Weimar , Bauhaus-Universität
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
BKL-Classification:54 Informatik / 54.89 Angewandte Informatik: Sonstiges
56 Bauwesen / 56.03 Methoden im Bauingenieurwesen
Collections:Bauhaus-Universität Weimar / International Conference on Computing in Civil and Building Engineering, ICCCBE, Weimar / International Conference on Computing in Civil and Building Engineering, ICCCBE, Weimar 10. 2004
Licence (German):License Logo In Copyright