NUMERICAL TREATMENT OF SINGULARLY PERTURBED FOURTH-ORDER TWO-PARAMETER PROBLEMS

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Contributors

Abstract

A singularly perturbed fourth-order problem with two small parameters is considered in one dimension and on a smooth domain in two dimensions. Using its discretisation by a mixed finite element method on a properly defined Shishkin mesh, we prove convergence in the associated energy norm.

Details

Original languageEnglish
Pages (from-to)50-62
Number of pages13
JournalElectronic transactions on numerical analysis
Volume51
Publication statusPublished - 2019
Peer-reviewedYes

External IDs

Scopus 85065908713
ORCID /0000-0002-2458-1597/work/142239693

Keywords

Keywords

  • singular perturbation, fourth-order problem, two small parameters, mixed method, layer-adapted meshes, FINITE-ELEMENT-METHOD, LAYER