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The discrete compactness property for anisotropic edge elementson polyhedral domains∗

Published online by Cambridge University Press:  31 August 2012

Ariel Luis Lombardi
Ariel Luis Lombardi*
Affiliation:
Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, B1613 GSX Provincia de Buenos Airesn, Argentina. aldoc7@dm.uba.arDepartamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Member of CONICET, Argentina

Abstract

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We prove the discrete compactness property of the edge elements of any order on a classof anisotropically refined meshes on polyhedral domains. The meshes, made up oftetrahedra, have been introduced in [Th. Apel and S. Nicaise, Math. Meth. Appl.Sci. 21 (1998) 519–549]. They are appropriately graded nearsingular corners and edges of the polyhedron.

Keywords

Discrete compactness propertyedge elementsanisotropic finite elementsMaxwell equations

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 47 , Issue 1 , January 2013, pp. 169 - 181
Copyright
© EDP Sciences, SMAI, 2012

References

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