Tangential Errors of Tensor Surface Finite Elements

Research output: Contribution to journalResearch articleContributedpeer-review


We discretise a tangential tensor field equation using a surface-finite element approach with a penalisation term to ensure almost tangentiality. It is natural to measure the quality of such a discretisation intrinsically, i.e., to examine the tangential convergence behaviour in contrast to the normal behaviour. We show optimal order convergence with respect to the tangential quantities in particular for an isogeometric penalisation term that is based only on the geometric information of the discrete surface.


Original languageEnglish
Pages (from-to)1543-1585
Number of pages43
JournalIMA Journal of Numerical Analysis
Issue number3
Early online date23 May 2022
Publication statusPublished - May 2023

External IDs

Mendeley 62d7bffb-1441-352f-b217-4c9f4d2cbd86
Scopus 85169422435


DFG Classification of Subject Areas according to Review Boards

Subject groups, research areas, subject areas according to Destatis


  • Surface Finite Elements, tensor field approximation on surfaces, Surface Finite Elements, a priori error estimates