2020
DOI: 10.48550/arxiv.2003.06972
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Error analysis of higher order trace finite element methods for the surface Stokes equations

Thomas Jankuhn,
Maxim A. Olshanskii,
Arnold Reusken
et al.

Abstract: The paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in R 3 . The method employs parametric P k -P k−1 finite element pairs on tetrahedral bulk mesh to discretize the Stokes system on embedded surface. Stability and optimal order convergence results are proved. The proofs include a complete quantification of geometric errors stemming from approximate parametric representation of the surface. Numerical experiments include formal convergence studies and an exam… Show more

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