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The Coupling Method with the NaturalBoundary Reduction on an Ellipse for Exterior Anisotropic Problems

Quan Zheng2, Jing Wang2, Jing-ya Li2

Supported in part by Natural Science Foundation of Beijing (No. 1072009).
College of Sciences, North China University of Technology, Beijing, P.R. of China.

Computer Modeling in Engineering & Sciences 2011, 72(2), 103-114. https://doi.org/10.3970/cmes.2011.072.103

Abstract

This paper investigates the coupling method of the finite element and the natural boundary element using an elliptic artificial boundary for solving exterior anisotropic problems, and obtains a new error estimate that depends on the mesh size, the location of the elliptic artificial boundary, the number of terms after truncating from the infinite series in the integral. Numerical examples are presented to demonstrate the effectiveness and the properties of this method.

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Zheng, Q., Wang, J., Li, J. (2011). The Coupling Method with the NaturalBoundary Reduction on an Ellipse for Exterior Anisotropic Problems. CMES-Computer Modeling in Engineering & Sciences, 72(2), 103–114.



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