Anisotropic error estimates for an interpolant defined via moments

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 a...

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Detalles Bibliográficos
Autor principal: Acosta, G.
Otros Autores: Apel, T., Durán, R.G, Lombardi, A.L
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2008
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
Aporte de:Registro referencial: Solicitar el recurso aquí
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030 |a CMPTA 
100 1 |a Acosta, G. 
245 1 0 |a Anisotropic error estimates for an interpolant defined via moments 
260 |c 2008 
270 1 0 |m Apel, T.; Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, Germany; email: thomas.apel@unibw.de 
506 |2 openaire  |e Política editorial 
504 |a Apel, T., (1999) Anisotropic Finite Elements: Local Estimates and Applications, , Teubner Stuttgart 
504 |a Apel, T., Dobrowolski, M., Anisotropic interpolation with applications to the finite element method (1992) Computing, 47, pp. 277-293 
504 |a Apel, T., Matthies, G., Non-conforming, anisotropic, rectangular finite elements of arbitrary order for the Stokes problem SIAM J Numer Anal, , forthcoming 
504 |a Buffa, A., Costabel, M., Dauge, M., Algebraic convergence for anisotropic edge elements in polyhedral domains (2005) Numer Math, 101, pp. 29-65 
504 |a Girault, V., Raviart, P.-A., (1986) Finite Element Methods for Navier-Stokes Equations, , Springer Berlin 
504 |a 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 
504 |a Mao, S., Shi, Z.-C., Error estimates for triangular finite elements satisfying a weak angle condition (2007) Sci China, ser A 
504 |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 
504 |a Zhou, A., Li, J., The full approximation accuracy for the stream function-vorticity- pressure method (1994) Numer Math, 68, pp. 427-435 
520 3 |a 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.  |l eng 
593 |a Instituto de Ciencias, Universidad Nacional de General Sarmiento, Los Polvorines, Provincia de Buenos Aires, Argentina 
593 |a Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, Germany 
593 |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina 
690 1 0 |a ANISOTROPIC FINITE ELEMENTS 
690 1 0 |a INTERPOLATION ERROR ESTIMATE 
690 1 0 |a ASYMPTOTIC ANALYSIS 
690 1 0 |a COMPUTATIONAL GEOMETRY 
690 1 0 |a FINITE ELEMENT METHOD 
690 1 0 |a INTERPOLATION 
690 1 0 |a POLYNOMIAL APPROXIMATION 
690 1 0 |a ANISOTROPIC FINITE ELEMENTS 
690 1 0 |a INTERPOLATION ERROR ESTIMATE 
690 1 0 |a ERROR ANALYSIS 
700 1 |a Apel, T. 
700 1 |a Durán, R.G. 
700 1 |a Lombardi, A.L. 
773 0 |d 2008  |g v. 82  |h pp. 1-9  |k n. 1  |p Comput Vienna New York  |x 0010485X  |w (AR-BaUEN)CENRE-514  |t Computing (Vienna/New York) 
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856 4 0 |u https://doi.org/10.1007/s00607-008-0259-1  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_0010485X_v82_n1_p1_Acosta  |y Handle 
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