Optimal convergence analysis of an immersed interface finite element method |
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| Authors: | So-Hsiang Chou Do Y. Kwak K. T. Wee |
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| Affiliation: | (1) Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095, USA |
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| Abstract: | We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H 1-norm and L 2-norm. |
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