A Posteriori Error Analysis of hp-FEM for singularly perturbed problems

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)

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:

07 Dec 2016 12:42

ArXiv ID:

1408.6037v2

BORIS DOI:

10.7892/boris.85972

URI:

https://boris.unibe.ch/id/eprint/85972

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