The discrete compactness property for anisotropic edge elements on polyhedral domains

We prove the discrete compactness property of the edge elements of any order on a class of anisotropically refined meshes on polyhedral domains. The meshes, made up of tetrahedra, have been introduced in [Th. Apel and S. Nicaise, Math. Meth. Appl. Sci. 21 (1998) 519—549]. They are appropriately grad...

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Autor principal: Lombardi, A.L.
Formato: JOUR
Materias:
Anisotropic finite elements
Discrete compactness property
Edge elements
Maxwell equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0764583X_v47_n1_p169_Lombardi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0764583X_v47_n1_p169_Lombardi
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spelling todo:paper_0764583X_v47_n1_p169_Lombardi2023-10-03T15:39:41Z The discrete compactness property for anisotropic edge elements on polyhedral domains Lombardi, A.L. Anisotropic finite elements Discrete compactness property Edge elements Maxwell equations We prove the discrete compactness property of the edge elements of any order on a class of anisotropically refined meshes on polyhedral domains. The meshes, made up of tetrahedra, have been introduced in [Th. Apel and S. Nicaise, Math. Meth. Appl. Sci. 21 (1998) 519—549]. They are appropriately graded near singular corners and edges of the polyhedron. © EDP Sciences, SMAI 2013. Fil:Lombardi, A.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0764583X_v47_n1_p169_Lombardi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Anisotropic finite elements
Discrete compactness property
Edge elements
Maxwell equations
spellingShingle Anisotropic finite elements
Discrete compactness property
Edge elements
Maxwell equations
Lombardi, A.L.
The discrete compactness property for anisotropic edge elements on polyhedral domains
topic_facet Anisotropic finite elements
Discrete compactness property
Edge elements
Maxwell equations
description We prove the discrete compactness property of the edge elements of any order on a class of anisotropically refined meshes on polyhedral domains. The meshes, made up of tetrahedra, have been introduced in [Th. Apel and S. Nicaise, Math. Meth. Appl. Sci. 21 (1998) 519—549]. They are appropriately graded near singular corners and edges of the polyhedron. © EDP Sciences, SMAI 2013.
format JOUR
author Lombardi, A.L.
author_facet Lombardi, A.L.
author_sort Lombardi, A.L.
title The discrete compactness property for anisotropic edge elements on polyhedral domains
title_short The discrete compactness property for anisotropic edge elements on polyhedral domains
title_full The discrete compactness property for anisotropic edge elements on polyhedral domains
title_fullStr The discrete compactness property for anisotropic edge elements on polyhedral domains
title_full_unstemmed The discrete compactness property for anisotropic edge elements on polyhedral domains
title_sort discrete compactness property for anisotropic edge elements on polyhedral domains
url http://hdl.handle.net/20.500.12110/paper_0764583X_v47_n1_p169_Lombardi
work_keys_str_mv AT lombardial thediscretecompactnesspropertyforanisotropicedgeelementsonpolyhedraldomains
AT lombardial discretecompactnesspropertyforanisotropicedgeelementsonpolyhedraldomains
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