Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems

  • A unified framework for a residual-based a posteriori error analysis of standard conforming finite element methods as well as non-standard techniques such as nonconforming and mixed methods has been developed recently. This paper provides such a framework for an a posteriori error control of nonconforming finite element discretizations of H(curl)-elliptic problems as they arise from low-frequency electromagnetics. These nonconforming approximations include the interior penalty discontinuous Galerkin (IPDG) approach and mortar edge element approximations.

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Metadaten
Author:Carsten CarstensenGND, Ronald H. W. HoppeORCiDGND
URN:urn:nbn:de:bvb:384-opus4-10633
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/1251
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2009-09)
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Contributing Corporation:University of Houston, Department of Mathematics, Humboldt-Universität zu Berlin, Institut für Mathematik
Release Date:2009/04/22
Tag:a posteriori error analysis; H(curl) elliptic problems; non-standard finite element methods
GND-Keyword:Finite-Elemente-Methode; A-posteriori-Abschätzung
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Deutsches Urheberrecht mit Print on Demand