Karageorghis, Andreas; Fairweather, Graeme The method of fundamental solutions for the numerical solution of the biharmonic equation. (English) Zbl 0618.65108 J. Comput. Phys. 69, 434-459 (1987). The method of fundamental solutions for second order elliptic partial differential equations (and particularly for the biharmonic equation) together with test problems (elasticity, fluid flow) is presented. A particular attention is devoted to the nonlinear least-squares method for fitting of boundary conditions. Reviewer: J.Šmíd Cited in 2 ReviewsCited in 107 Documents MSC: 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs 31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions 35J25 Boundary value problems for second-order elliptic equations 35J40 Boundary value problems for higher-order elliptic equations Keywords:boundary integral equation method; method of fundamental solutions; biharmonic equation; test problems; nonlinear least-squares method; fitting of boundary conditions PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{G. Fairweather}, J. Comput. Phys. 69, 434--459 (1987; Zbl 0618.65108) Full Text: DOI References: [1] Aleksidze, M. A., Differential Equations, 2, 515 (1966) [2] Banerjee, P. K.; Butterfield, R., Boundary Element Methods in Engineering Science (1981), McGraw-Hill: McGraw-Hill U.K · Zbl 0499.73070 [3] Bézine, G., Mech. Res. Comm., 5, 197 (1978) [4] Black, J. R.; Denn, M. M.; Hsiao, G. 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