Singularly Perturbed Reaction–Diffusion Problems as First order systems

Research output: Contribution to journalResearch articleContributedpeer-review

Abstract

We consider a singularly perturbed reaction diffusion problem as a first order two-by-two system. Using piecewise discontinuous polynomials for the first component and Hdiv-conforming elements for the second component we provide a convergence analysis on layer adapted meshes and an optimal convergence order in a balanced norm that is comparable with a balanced H2-norm for the second order formulation.

Details

Original languageEnglish
Article number38
JournalJournal of scientific computing
Volume89
Issue number2
Publication statusPublished - Nov 2021
Peer-reviewedYes

External IDs

Scopus 85116447553

Keywords