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.
| Author: | Carsten CarstensenGND, Ronald H. W. HoppeORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-10633 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1251 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2009-09) |
| Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2009/04/22 |
| 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: | H(curl) elliptic problems; a posteriori error analysis; 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 |
