Finite Element Approximation of an Elliptic Boundary Value Problem with Interface

Authors:
Boško S. Jovanović;Lubin G. Vulkov
Affiliations:
Faculty of Mathematics, University of Belgrade, Belgrade, Serbia 11000;Center of Applied Mathematics and Informatics, University of Rousse, Rousse, Bulgaria 7017
Venue:
Numerical Analysis and Its Applications
Year:
2009

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Abstract

For elliptic boundary value problem in domain with smooth curvilinear boundary and interface a finite element approximation is constructed. Convergence is proved in Sobolev like spaces $\widetilde W_2^1$ and $\widetilde L_2$.