Numerical analysis of a singularly perturbed 4th order problem with a shift term

Research output: Contribution to journalResearch articleContributedpeer-review



We consider a one-dimensional singularly perturbed 4th order problem with the additional feature of a shift term. An expansion into a smooth term, boundary layers and an inner layer yields a formal solution decomposition, and together with a stability result we have estimates for the subsequent numerical analysis. With classical layer adapted meshes we present a numerical method that achieves supercloseness and optimal convergence orders in the associated energy norm. We also consider coarser meshes in view of the weak layers. Some numerical examples conclude the paper and support the theory.


Original languageEnglish
Pages (from-to)514-530
Number of pages17
JournalApplied numerical mathematics
Publication statusPublished - Jul 2024

External IDs

Scopus 85189940892
Mendeley a7f4363e-f3d0-39a1-823a-ab5eca840776



  • 4th order problem, Mesh generation, Shift, Singularly perturbed, Solution decomposition