Melenk, Jens M.; Wihler, Thomas (2014). A Posteriori Error Analysis of hp-FEM for singularly perturbed problems Cornell University Library
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We consider the approximation of singularly perturbed linear second-order boundary value problems by hp-finite element methods. In particular, we include the case where the associated differential operator may not be coercive. Within this setting we derive an a posteriori error estimate for a natural residual norm. The error bound is robust with respect to the perturbation parameter and fully explicit with respect to both the local mesh size h and the polynomial degree p.
Item Type: |
Report (Report) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
Publisher: |
Cornell University Library |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
26 Aug 2016 10:03 |
Last Modified: |
05 Dec 2022 14:57 |
ArXiv ID: |
1408.6037v2 |
BORIS DOI: |
10.7892/boris.85972 |
URI: |
https://boris.unibe.ch/id/eprint/85972 |
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