Finite element methods and their convergence for elliptic and parabolic interface problems |
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| Authors: | Zhiming Chen Jun Zou |
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| Institution: | (1) Institute of Mathematics, Academia Sinica, Beijing 100080, P.R. China; e-mail: zmchen@math03.math.ac.cn , CN;(2) Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong; e-mail: zou@math.cuhk.edu.hk , HK |
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| Abstract: | In this paper, we consider the finite element methods for solving second order elliptic and parabolic interface problems
in two-dimensional convex polygonal domains. Nearly the same optimal -norm and energy-norm error estimates as for regular problems are obtained when the interfaces are of arbitrary shape but
are smooth, though the regularities of the solutions are low on the whole domain. The assumptions on the finite element triangulation
are reasonable and practical.
Received July 7, 1996 / Revised version received March 3, 1997 |
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| Keywords: | Mathematics Subject Classification (1991):65N30 65F10 |
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