Paper Info
Title
Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems.
Abstract
We consider a standard model for mass transport across an evolving interface. The solution has to satisfy a jump condition across an evolving interface. We present and analyze a finite element discretization method for this mass transport problem. This method is based on a space-time approach in which a discontinuous Galerkin (DG) technique is combined with an extended finite element method (XFEM). The jump condition is satisfied in a weak sense by using the Nitsche method. This Nitsche XFEM-DG method is new. An error analysis is presented. Results of numerical experiments are given which illustrate the accuracy of the method.
Year
DOI
Venue
2013
10.1137/120875260
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
Nitsche method,space-time XFEM,transport problem
Discontinuous Galerkin method,Standard Model,Discretization,Mathematical optimization,Mathematical analysis,Extended finite element method,Finite element method,Mass transport,Jump,Mathematics
Journal
Volume
Issue
ISSN
51
2
0036-1429
Citations 
PageRank 
References 
1
0.48
0
Authors
2
Name
Order
Citations
PageRank
Christoph Lehrenfeld1467.55
Arnold Reusken230544.91