Artículo
Armentano, M.G.; Durán, R.G. "Mass-lumping or not mass-lumping for eigenvalue problems" (2003) Numerical Methods for Partial Differential Equations. 19(5):653-664
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Abstract:
In this article we analyze the effect of mass-lumping in the linear triangular finite element approximation of second-order elliptic eigenvalue problems. We prove that the eigenvalue obtained by using mass-lumping is always below the one obtained with exact integration. For singular eigenfunctions, as those arising in non convex polygons, we prove that the eigenvalue obtained with mass-lumping is above the exact eigenvalue when the mesh size is small enough. So, we conclude that the use of mass-lumping is convenient in the singular case. When the eigenfunction is smooth several numerical experiments suggest that the eigenvalue computed with mass-lumping is below the exact one if the mesh is not too coarse. © 2003 Wiley Periodicals, Inc.
Registro:
| Documento: | Artículo |
| Título: | Mass-lumping or not mass-lumping for eigenvalue problems |
| Autor: | Armentano, M.G.; Durán, R.G. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactes y Naturales, 1428 Buenos Aires, Argentina |
| Palabras clave: | Eigenvalue problems; Finite elements; Mass-lumping |
| Año: | 2003 |
| Volumen: | 19 |
| Número: | 5 |
| Página de inicio: | 653 |
| Página de fin: | 664 |
| DOI: | http://dx.doi.org/10.1002/num.10058 |
| Título revista: | Numerical Methods for Partial Differential Equations |
| Título revista abreviado: | Numer Methods Partial Differential Equations |
| ISSN: | 0749159X |
| CODEN: | NMPDE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0749159X_v19_n5_p653_Armentano |
Citas:
---------- APA ----------
Armentano, M.G. & Durán, R.G. (2003) . Mass-lumping or not mass-lumping for eigenvalue problems. Numerical Methods for Partial Differential Equations, 19(5), 653-664.http://dx.doi.org/10.1002/num.10058
---------- CHICAGO ----------
Armentano, M.G., Durán, R.G. "Mass-lumping or not mass-lumping for eigenvalue problems" . Numerical Methods for Partial Differential Equations 19, no. 5 (2003) : 653-664.http://dx.doi.org/10.1002/num.10058
---------- MLA ----------
Armentano, M.G., Durán, R.G. "Mass-lumping or not mass-lumping for eigenvalue problems" . Numerical Methods for Partial Differential Equations, vol. 19, no. 5, 2003, pp. 653-664.http://dx.doi.org/10.1002/num.10058
---------- VANCOUVER ----------
Armentano, M.G., Durán, R.G. Mass-lumping or not mass-lumping for eigenvalue problems. Numer Methods Partial Differential Equations. 2003;19(5):653-664.http://dx.doi.org/10.1002/num.10058
