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Abstract:

In this paper we introduce and analyze an a posteriori error estimator for the linear finite element approximations of the Steklov eigenvalue problem. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, up to higher order terms, the estimator is equivalent to the energy norm of the error. Finally, we prove that the volumetric part of the residual term is dominated by a constant times the edge residuals, again up to higher order terms. © 2007 IMACS.

Registro:

Documento: Artículo
Título:A posteriori error estimates for the Steklov eigenvalue problem
Autor:Armentano, M.G.; Padra, C.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Centro Atómico Bariloche, 4800 Bariloche, Argentina
Palabras clave:A posteriori error estimates; Finite elements; Steklov eigenvalue problem; Error analysis; Finite element method; Problem solving; Posteriori error estimates; Steklov eigenvalue problem; Eigenvalues and eigenfunctions
Año:2008
Volumen:58
Número:5
Página de inicio:593
Página de fin:601
DOI: http://dx.doi.org/10.1016/j.apnum.2007.01.011
Título revista:Applied Numerical Mathematics
Título revista abreviado:Appl Numer Math
ISSN:01689274
CODEN:ANMAE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689274_v58_n5_p593_Armentano

Referencias:

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Citas:

---------- APA ----------
Armentano, M.G. & Padra, C. (2008) . A posteriori error estimates for the Steklov eigenvalue problem. Applied Numerical Mathematics, 58(5), 593-601.
http://dx.doi.org/10.1016/j.apnum.2007.01.011
---------- CHICAGO ----------
Armentano, M.G., Padra, C. "A posteriori error estimates for the Steklov eigenvalue problem" . Applied Numerical Mathematics 58, no. 5 (2008) : 593-601.
http://dx.doi.org/10.1016/j.apnum.2007.01.011
---------- MLA ----------
Armentano, M.G., Padra, C. "A posteriori error estimates for the Steklov eigenvalue problem" . Applied Numerical Mathematics, vol. 58, no. 5, 2008, pp. 593-601.
http://dx.doi.org/10.1016/j.apnum.2007.01.011
---------- VANCOUVER ----------
Armentano, M.G., Padra, C. A posteriori error estimates for the Steklov eigenvalue problem. Appl Numer Math. 2008;58(5):593-601.
http://dx.doi.org/10.1016/j.apnum.2007.01.011