Artículo
Armentano, M.G. "The effect of reduced integration in the Steklov eigenvalue problem" (2004) Mathematical Modelling and Numerical Analysis. 38(1):27-36
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | The effect of reduced integration in the Steklov eigenvalue problem |
| Autor: | Armentano, M.G. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| Palabras clave: | Finite elements; Reduced integration; Steklov eigenvalue problem |
| Año: | 2004 |
| Volumen: | 38 |
| Número: | 1 |
| Página de inicio: | 27 |
| Página de fin: | 36 |
| DOI: | http://dx.doi.org/10.1051/m2an:2004002 |
| Título revista: | Mathematical Modelling and Numerical Analysis |
| Título revista abreviado: | Math. Model. Numer. Anal. |
| ISSN: | 0764583X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0764583X_v38_n1_p27_Armentano.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0764583X_v38_n1_p27_Armentano |
Referencias:
- Armentano, M.G., Durán, R.G., Mass lumping or not mass lumping for eigenvalue problems (2003) Numer. Methods Partial Differential Equations, 19, pp. 653-664
- Babuska, I., Osborn, J., (1991) Eigenvalue Problems, , Handbook of Numerical Analysis, Vol. II. Finite Element Methods (Part. 1)
- Banerjee, U., Osborn, J., Estimation of the effect of numerical integration in finite element eigenvalue approximation (1990) Numer. Math., 56, pp. 735-762
- Belgacem, F.B., Brenner, S.C., Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems (2001) Electron. Trans. Numer. Anal., 12, pp. 134-148
- Bermudez, A., Rodriguez, R., Santamarina, D., A finite element solution of an added mass formulation for coupled fluid-solid vibrations (2000) Numer. Math., 87, pp. 201-227
- Brenner, S.C., Scott, L.R., (1994) The Mathematical Theory of Finite Element Methods, , Springer-Verlag, New York
- Ciarlet, P., (1978) The Finite Element Method for Elliptic Problems, , North-Holland, Amsterdam
- Grisvard, P., (1985) Elliptic Problems in Nonsmooth Domain, , Pitman Boston
- Morand, H.J.-P., Ohayon, R., Interactions Fluids-Structures (1985) Rech. Math. Appl., 23
- Weinberger, H.F., (1974) Variational Methods for Eigenvalue Approximation, , SIAM, Philadelphia
Citas:
---------- APA ----------
(2004) . The effect of reduced integration in the Steklov eigenvalue problem. Mathematical Modelling and Numerical Analysis, 38(1), 27-36.http://dx.doi.org/10.1051/m2an:2004002
---------- CHICAGO ----------
Armentano, M.G. "The effect of reduced integration in the Steklov eigenvalue problem" . Mathematical Modelling and Numerical Analysis 38, no. 1 (2004) : 27-36.http://dx.doi.org/10.1051/m2an:2004002
---------- MLA ----------
Armentano, M.G. "The effect of reduced integration in the Steklov eigenvalue problem" . Mathematical Modelling and Numerical Analysis, vol. 38, no. 1, 2004, pp. 27-36.http://dx.doi.org/10.1051/m2an:2004002
---------- VANCOUVER ----------
Armentano, M.G. The effect of reduced integration in the Steklov eigenvalue problem. Math. Model. Numer. Anal. 2004;38(1):27-36.http://dx.doi.org/10.1051/m2an:2004002
