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Dual reciprocity method using compactly supported radial basis functions. (English) Zbl 0927.65140
The use of the boundary element method for inhomogeneous elliptic partial differential equations requires some sort of global operation to obtain an approximate particular solution. The authors address this issue in terms of collocation of the forcing function by a sum of the compactly-supported basis functions introduced by H. Wendland [Adv. Comput. Math. 4, No. 4, 389-396 (1995; Zbl 0838.41014)]. Computational examples are given, showing that the accuracy of the method degrades if the support of the basis functions is too small and that the matrix problem becomes difficult if the support is too large.

MSC:
65N38 Boundary element methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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