98 citations · 227 across the 32 of their papers we have counts for
5 papers · 1 filter
Analysis of a Schwarz-Fourier domain decomposition method
Arnold Reusken
The Schwarz domain decomposition method can be used for approximately solving a Laplace equation on a domain formed by the union of two overlapping discs. We consider an inexact va…
A comparative study of finite element methods for a class of harmonic map heat flow problems
Nam Anh Nguyen, Arnold Reusken
In this paper, we review and systematically compare three finite element discretization methods for a harmonic map heat flow problem from the unit disk in to the uni…
Error analysis for a Finite Element Discretization of a corotational harmonic map heat flow problem
Nam Anh Nguyen, Arnold Reusken
We consider the harmonic map heat flow problem for a corotational case. For discretization of this problem we apply a -conforming finite element method in space combined with…
Analysis of a finite element method for PDEs in evolving domains with topological changes
Maxim A. Olshanskii, Arnold Reusken
The paper presents the first rigorous error analysis of an unfitted finite element method for a linear parabolic problem posed on an evolving domain that may undergo a topol…
Discretization error analysis for a radially symmetric harmonic map heat flow problem
Nam Anh Nguyen, Arnold Reusken
In this paper we study the harmonic map heat flow problem for a radially symmetric case. The corresponding partial dfferential equation plays a key role in many analyses of harmoni…