Boundary knot method for Laplace and biharmonic problems

Details Boundary knot method for Laplace and biharmonic problems Boundary knot method for Laplace and biharmonic problems

2003-07-28

arxiv.org/abs/cs/0307061v1

Computer Science

Computational Engineering, Finance, and Science

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The boundary knot method (BKM) [1] is a meshless boundary-type radial basis function (RBF) collocation scheme, where the nonsingular general solution is used instead of fundamental solution to evaluate the homogeneous solution, while the dual reciprocity method (DRM) is employed to approximation of particular solution. Despite the fact that there are not nonsingular RBF general solutions available for Laplace and biharmonic problems, this study shows that the method can be successfully applied to these problems. The high-order general and fundamental solutions of Burger and Winkler equations are also first presented here.

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