98 citations · 227 across the 32 of their papers we have counts for
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Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation
Philip Brandner, Arnold Reusken
We consider a surface Stokes problem in stream function formulation on a simply connected oriented surface without boundary. This formulation leads to a cou…
Higher order Trace Finite Element Methods for the Surface Stokes Equation
Thomas Jankuhn, Arnold Reusken
In this paper a class of higher order finite element methods for the discretization of surface Stokes equations is studied. These methods are based on an unfitted finite element ap…
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
The paper studies a geometrically unfitted finite element method (FEM), known as trace FEM or cut FEM, for the numerical solution of the Stokes system posed on a closed smooth surf…
Trace Finite Element Methods for Surface Vector-Laplace Equations
Thomas Jankuhn, Arnold Reusken
In this paper we analyze a class of trace finite element methods (TraceFEM) for the discretization of vector-Laplace equations. A key issue in the finite element discretization of…