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Preprint-No.: <   340   >   Published in: April 2012   PDF-File: IGPM340_k.pdf
Title:Analysis of a DG-XFEM Discretization for a Class of Two-Phase Mass Transport Problems
Authors:Christoph Lehrenfeld, Arnold Reusken
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 DG-XFEM method is new. An error analysis is presented which results in optimal discretization error bounds. Results of numerical experiments are given which illustrate the accuracy of the method
Keywords:transport problem, Nitsche method, XFEM, DG space–time finite element method
DOI: 10.1137/120875260
Publication:SIAM journal on numerical analysis
51(2), 958-983 (2013)
Corresponding author:Arnold Reusken