Open Access

ARTICLE

The Coupling FEM and Natural BEM for a Certain Nonlinear Interface Problem with Non-Matching Grids

Ju’e Yang¹, Dehao Yu²

1 School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China. Email: yangje@lzu.edu.cn.
2 Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematical and System Sciences, The Chinese Academy of Sciences, Beijing 100080, China.

Computer Modeling in Engineering & Sciences 2011, 73(3), 311-330. https://doi.org/10.3970/cmes.2011.073.311

Abstract

In this paper, we introduce a domain decomposition method with non-matching grids for a certain nonlinear interface problem in unbounded domains. To solve this problem, we discuss a new coupling of finite element method(FE) and natural boundary element(NBE). We first derive the optimal energy error estimate of finite element approximation to the coupled FEM-NBEM problem. Then we use a dual basis multipier on the interface to provide the numerical analysis with non-matching grids.Finally, we give some numerical examples further to confirm our theoretical results.

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Keywords

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