Analysis of Galerkin and streamline-diffusion FEMs on piecewise equidistant meshes for turning point problems exhibiting an interior layer

Research output: Contribution to journalResearch articleContributedpeer-review



We consider singularly perturbed boundary value problems with a simple interior turning point whose solutions exhibit an interior layer. These problems are discretised using higher order finite elements on layer-adapted piecewise equidistant meshes proposed by Sun and Stynes. We also study the streamline-diffusion finite element method (SDFEM) for such problems. For these methods error estimates uniform with respect to ε are proven in the energy norm and in the stronger SDFEM-norm, respectively. Numerical experiments confirm the theoretical findings.


Original languageEnglish
Pages (from-to)121-136
Number of pages16
JournalApplied numerical mathematics
Publication statusPublished - Jan 2018

External IDs

Scopus 85029803106


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