2 citations · 2 across the 5 of their papers we have counts for
9 papers
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
The paper considers a system of equations that models a lateral flow of a Boussinesq--Scriven fluid on a passively evolving surface embedded in . For the resulting Na…
On derivations of evolving surface Navier-Stokes equations
Philip Brandner, Arnold Reusken, Paul Schwering
In recent literature several derivations of incompressible Navier-Stokes type equations that model the dynamics of an evolving fluidic surface have been presented. These derivation…
Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method
Sven Gross, Arnold Reusken
In this paper we consider a class of fictitious domain finite element methods known from the literature. These methods use standard finite element spaces on a fixed unfitted triang…
Analysis of finite element methods for surface vector-Laplace eigenproblems
Arnold Reusken
In this paper we study finite element discretizations of a surface vector-Laplace eigenproblem. We consider two known classes of finite element methods, namely one based on a vecto…
Error analysis of higher order trace finite element methods for the surface Stokes equations
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken +1
The paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in three-dimensional space. The method employs generalized Taylor-Hood fini…
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…