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A boundary element approach for non-linear boundary-value problems

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Abstract

A Boundary Element Method has been developed for solving nonlinear boundary-value problems. This method avoids the tedious calculation of the domain integral contributions to the boundary integral equations. This is achieved by applying approximate particular solutions which are obtained by expressing the “pseudo-body force” in terms of a linear combination of radial basis functions. Numerical examples show that the method is efficient and can produce accurate results.

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Communicated by S. N. Atluri, December 7, 1990

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Zheng, R., Phan-Thien, N. & Coleman, C.J. A boundary element approach for non-linear boundary-value problems. Computational Mechanics 8, 71–86 (1991). https://doi.org/10.1007/BF00350612

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