340	RWTH Publication No: 47296        2012        IGPM340.pdf
TITLE	Analysis of a DG-XFEM Discretization for a Class of Two-Phase Mass Transport Problems
AUTHORS	Christoph Lehrenfeld, Arnold Reusken
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 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