Open Access

ABSTRACT

Coupling of Natural Boundary Element Method and Finite Element Method for Three-dimensional Nonlinear Interface Problem

Hong-ying Huang^2,1, De-hao Yu ²

1 Graduate University of Chinese Academy of Sciences, China
2 LSEC, ICMSEC, Academy of Mathematics and System Sciences, The Chinese Academy of Sciences, Beijing, 100080, China

The International Conference on Computational & Experimental Engineering and Sciences 2007, 2(3), 67-74. https://doi.org/10.3970/icces.2007.002.067

Abstract

In this paper, we apply the coupling of natural boundary element method and finite element method to solve a three-dimensional nonlinear interface problem. Two equations are coupled by interface conditions on the interface boundary. A spherical surface as the artificial boundary is introduced. The equivalent coupled variational problem is described. The existence and uniqueness of the solution of concerned problem as well as the estimates of its approximate solution are obtained. Some numerical examples are presented to demonstrate the effectiveness of this method.

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Keywords

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