A Solution Method for a Certain Nonlinear Interface Problem in Unbounded Domains |
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| Authors: | Q Hu D Yu |
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| Affiliation: | (1) Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China e-mails: hqy@lsec.cc.ac.cn ydh@lsec.cc.ac.cn, CN |
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| Abstract: | In this paper, we consider a kind of nonlinear interface problem in unbounded domains. To solve this problem, we discuss
a new coupling of finite element and boundary element by adding an auxiliary circle. We first derive the optimal error estimate
of finite element approximation to the coupled FEM-BEM problem. Then we introduce a preconditioning steepest descent method
for solving the discrete system by constructing a cheap domain decomposition preconditioner. Moreover, we give a complete
analysis to the convergence speed of this iterative method.
Received March 30, 2000; revised November 29, 2000 |
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| Keywords: | AMS Subject Classifications: 65N30 65N38 65R20 |
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