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

Ju’e Yang1, Dehao Yu2

School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China. Email: yangje@lzu.edu.cn.
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.

## Keywords

APA Style
Yang, J., Yu, D. (2011). The coupling FEM and natural BEM for a certain nonlinear interface problem with non-matching grids. Computer Modeling in Engineering & Sciences, 73(3), 311-330. https://doi.org/10.3970/cmes.2011.073.311
Vancouver Style
Yang J, Yu D. The coupling FEM and natural BEM for a certain nonlinear interface problem with non-matching grids. Comput Model Eng Sci. 2011;73(3):311-330 https://doi.org/10.3970/cmes.2011.073.311
IEEE Style
J. Yang and D. Yu, "The Coupling FEM and Natural BEM for a Certain Nonlinear Interface Problem with Non-Matching Grids," Comput. Model. Eng. Sci., vol. 73, no. 3, pp. 311-330. 2011. https://doi.org/10.3970/cmes.2011.073.311

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