136 citations · 588 across the 51 of their papers we have counts for
5 papers · 2 filters
An adaptive octree finite element method for PDEs posed on surfaces
Alexey Y. Chernyshenko, Maxim A. Olshanskii
The paper develops a finite element method for partial differential equations posed on hypersurfaces in , . The method uses traces of bulk finite element funct…
A trace finite element method for a class of coupled bulk-interface transport problems
Sven Gross, Maxim A. Olshanskii, Arnold Reusken
In this paper we study a system of advection-diffusion equations in a bulk domain coupled to an advection-diffusion equation on an embedded surface. Such systems of coupled partial…
A space-time FEM for PDEs on evolving surfaces
Joerg Grande, Maxim Olshanskii, Arnold Reusken
The paper studies a finite element method for computing transport and diffusion along evolving surfaces. The method does not require a parametrization of a surface or an extension…
Error analysis of a space-time finite element method for solving PDEs on evolving surfaces
Maxim A. Olshanskii, Arnold Reusken
In this paper we present an error analysis of an Eulerian finite element method for solving parabolic partial differential equations posed on evolving hypersurfaces in $\mathbb{R}^…
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces
Maxim A. Olshanskii, Danil Safin
The paper studies a method for solving elliptic partial differential equations posed on hypersurfaces in , . The method allows a surface to be given implicitly…