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.

Download full text files

Export metadata

Statistics

Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Carsten CarstensenGND, Ronald H. W. HoppeGND
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