The effect of reduced integration in the Steklov eigenvalue problem
In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular ei...
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2004
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0764583X_v38_n1_p27_Armentano http://hdl.handle.net/20.500.12110/paper_0764583X_v38_n1_p27_Armentano |
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paper:paper_0764583X_v38_n1_p27_Armentano2023-06-08T15:45:45Z The effect of reduced integration in the Steklov eigenvalue problem Armentano, Maria Gabriela Finite elements Reduced integration Steklov eigenvalue problem In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions. the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough. Fil:Armentano, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0764583X_v38_n1_p27_Armentano http://hdl.handle.net/20.500.12110/paper_0764583X_v38_n1_p27_Armentano |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Finite elements Reduced integration Steklov eigenvalue problem |
| spellingShingle |
Finite elements Reduced integration Steklov eigenvalue problem Armentano, Maria Gabriela The effect of reduced integration in the Steklov eigenvalue problem |
| topic_facet |
Finite elements Reduced integration Steklov eigenvalue problem |
| description |
In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions. the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough. |
| author |
Armentano, Maria Gabriela |
| author_facet |
Armentano, Maria Gabriela |
| author_sort |
Armentano, Maria Gabriela |
| title |
The effect of reduced integration in the Steklov eigenvalue problem |
| title_short |
The effect of reduced integration in the Steklov eigenvalue problem |
| title_full |
The effect of reduced integration in the Steklov eigenvalue problem |
| title_fullStr |
The effect of reduced integration in the Steklov eigenvalue problem |
| title_full_unstemmed |
The effect of reduced integration in the Steklov eigenvalue problem |
| title_sort |
effect of reduced integration in the steklov eigenvalue problem |
| publishDate |
2004 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0764583X_v38_n1_p27_Armentano http://hdl.handle.net/20.500.12110/paper_0764583X_v38_n1_p27_Armentano |
| work_keys_str_mv |
AT armentanomariagabriela theeffectofreducedintegrationinthestekloveigenvalueproblem AT armentanomariagabriela effectofreducedintegrationinthestekloveigenvalueproblem |
| _version_ |
1768543520629456896 |