298	RWTH Publication No: 47100        2009        IGPM298.pdf
TITLE	Nitsche's Method for a Transport Problem in Two-Phase Incompressible Flows
AUTHORS	Arnold Reusken, Trung Hieu Nguyen
ABSTRACT	We consider a parabolic interface problem which models the transport of a dissolved species in two-phase incompressible flow problems. Due to the so-called Henry interface condition the solution is discontinuous across the interface. We use an extended finite element space combined with a method due to Nitsche for the spatial discretization of this problem and derive optimal discretization error bounds for this method. For the time discretization a standard θ-scheme is applied. Results of numerical experiments are given that illustrate the convergence properties of this discretization.
KEYWORDS	Nitsche’s method, interface problem, extended finite elements, two-phase flows,
DOI	10.1007/s00041-009-9092-y
PUBLICATION	The journal of Fourier analysis and applications 15(5), 663-683 (2009)