Numerical analysis of a singularly perturbed convection diffusion problem with shift in space

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

We consider a singularly perturbed convection-diffusion problem that has in addition a shift term. We show a solution decomposition using asymptotic expansions and a stability result. Based upon this we provide a numerical analysis of high order finite element method on layer adapted meshes. We also apply a new idea of using a coarser mesh in places where weak layers appear. Numerical experiments confirm our theoretical results.

Details

Original languageEnglish
Pages (from-to)129-142
Number of pages14
JournalApplied numerical mathematics
Volume186
Publication statusPublished - Jan 2023
Peer-reviewedYes

External IDs

Scopus 85147330273

Keywords

DFG Classification of Subject Areas according to Review Boards

Keywords

  • Convection-diffusion, Shift in space, Singularly perturbed problem