Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
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 language | English |
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Pages (from-to) | 233-247 |
Number of pages | 15 |
Journal | Computers & mathematics with applications |
Volume | 72 |
Issue number | 1 |
Publication status | Published - Jul 2016 |
Peer-reviewed | Yes |
External IDs
Scopus | 84971453919 |
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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