Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems

Research output: Contribution to journalResearch articleContributedpeer-review

Abstract

We consider singularly perturbed fourth order problems in two dimensions. Under assumptions on the structure of their solutions, we construct layer-adapted meshes and prove for a mixed-method convergence and supercloseness in the associated energy norms as well as convergence in balanced norms. (C) 2016 Elsevier Ltd. All rights reserved.

Details

Original languageEnglish
Pages (from-to)233-247
Number of pages15
JournalComputers & mathematics with applications
Volume72
Issue number1
Publication statusPublished - Jul 2016
Peer-reviewedYes

External IDs

Scopus 84971453919
ORCID /0000-0002-2458-1597/work/142239703

Keywords

Keywords

  • Singular perturbation, Fourth order problem, Mixed-method, Boundary layers, Layer-adapted meshes, Balanced norms, FINITE-ELEMENT-METHOD, CONVERGENCE