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On the coupled NBEM and FEM for a class of nonlinear exterior Dirichlet problem in R 2 |
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| Authors: | Wu Zhengpeng Kang Tong Yu Dehao |
| Institution: | 1.Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, China ;2.Department of Applied Mathematics, Beijing Broadcasting Institute, 100024, Beijing, China ;3.Combinatorial and Computational Mathematics Center, Pohang University of Science and Technology, 790-784, Phoang, Republic of Korea ; |
| Abstract: | In this paper, based on the natural boundary reduction advanced by Feng and Yu, we couple the finite element approach with the natural boundary element method to study the weak solvability and Galerkin approximation of a class of nonlinear exterior boundary value problems. The analysis is mainly based on the variational formulation with constraints. We prove the error estimate of the finite element solution and obtain the asymptotic rate of convergence. Finally, we also give a numerical example. |
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