Artículo
Acosta, G.; Apel, T.; Durán, R.G.; Lombardi, A.L. "Anisotropic error estimates for an interpolant defined via moments" (2008) Computing (Vienna/New York). 82(1):1-9
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Abstract:
An interpolant defined via moments is investigated for triangles, quadrilaterals, tetrahedra, and hexahedra and arbitrarily high polynomial degree. The elements are allowed to have diameters with different asymptotic behavior in different space directions. Anisotropic interpolation error estimates are proved. © 2008 Springer-Verlag Wien.
Registro:
| Documento: | Artículo |
| Título: | Anisotropic error estimates for an interpolant defined via moments |
| Autor: | Acosta, G.; Apel, T.; Durán, R.G.; Lombardi, A.L. |
| Filiación: | Instituto de Ciencias, Universidad Nacional de General Sarmiento, Los Polvorines, Provincia de Buenos Aires, Argentina Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, Germany Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | Anisotropic finite elements; Interpolation error estimate; Asymptotic analysis; Computational geometry; Finite element method; Interpolation; Polynomial approximation; Anisotropic finite elements; Interpolation error estimate; Error analysis |
| Año: | 2008 |
| Volumen: | 82 |
| Número: | 1 |
| Página de inicio: | 1 |
| Página de fin: | 9 |
| DOI: | http://dx.doi.org/10.1007/s00607-008-0259-1 |
| Título revista: | Computing (Vienna/New York) |
| Título revista abreviado: | Comput Vienna New York |
| ISSN: | 0010485X |
| CODEN: | CMPTA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0010485X_v82_n1_p1_Acosta |
Referencias:
- Apel, T., (1999) Anisotropic Finite Elements: Local Estimates and Applications, , Teubner Stuttgart
- Apel, T., Dobrowolski, M., Anisotropic interpolation with applications to the finite element method (1992) Computing, 47, pp. 277-293
- Apel, T., Matthies, G., Non-conforming, anisotropic, rectangular finite elements of arbitrary order for the Stokes problem SIAM J Numer Anal, , forthcoming
- Buffa, A., Costabel, M., Dauge, M., Algebraic convergence for anisotropic edge elements in polyhedral domains (2005) Numer Math, 101, pp. 29-65
- Girault, V., Raviart, P.-A., (1986) Finite Element Methods for Navier-Stokes Equations, , Springer Berlin
- Lin, Q., Yan, N., Zhou, A., A rectangle test for interpolated finite elements (1991) Proc. of Sys. Scit. and Sys. Engng., pp. 217-229. , Great Wall (Hong Kong) Culture Publish Co
- Mao, S., Shi, Z.-C., Error estimates for triangular finite elements satisfying a weak angle condition (2007) Sci China, ser A
- Stynes, M., Tobiska, L., Using rectangular Qp elements in the sdfem for a convection-diffusion problem with a boundary layer Appl Numer Math, , forthcoming
- Zhou, A., Li, J., The full approximation accuracy for the stream function-vorticity- pressure method (1994) Numer Math, 68, pp. 427-435
Citas:
---------- APA ----------
Acosta, G., Apel, T., Durán, R.G. & Lombardi, A.L. (2008) . Anisotropic error estimates for an interpolant defined via moments. Computing (Vienna/New York), 82(1), 1-9.http://dx.doi.org/10.1007/s00607-008-0259-1
---------- CHICAGO ----------
Acosta, G., Apel, T., Durán, R.G., Lombardi, A.L. "Anisotropic error estimates for an interpolant defined via moments" . Computing (Vienna/New York) 82, no. 1 (2008) : 1-9.http://dx.doi.org/10.1007/s00607-008-0259-1
---------- MLA ----------
Acosta, G., Apel, T., Durán, R.G., Lombardi, A.L. "Anisotropic error estimates for an interpolant defined via moments" . Computing (Vienna/New York), vol. 82, no. 1, 2008, pp. 1-9.http://dx.doi.org/10.1007/s00607-008-0259-1
---------- VANCOUVER ----------
Acosta, G., Apel, T., Durán, R.G., Lombardi, A.L. Anisotropic error estimates for an interpolant defined via moments. Comput Vienna New York. 2008;82(1):1-9.http://dx.doi.org/10.1007/s00607-008-0259-1
