期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 191, 期 47-48, 页码 5537-5552出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(02)00524-8
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In this paper we propose a method for the finite element solution of elliptic interface problem, using an approach due to Nitsche. The method allows for discontinuities, internal to the elements, in the approximation across the interface. We show that optimal order of convergence holds without restrictions on the location of the interface relative to the mesh. Further, we derive a posteriori error estimates, for the purpose of controlling functionals of the error and present some numerical examples. (C) 2002 Elsevier Science B.V. All rights reserved.
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