Fairweather, Graeme; Karageorghis, Andreas The method of fundamental solutions for elliptic boundary value problems. (English) Zbl 0922.65074 Adv. Comput. Math. 9, No. 1-2, 69-95 (1998). The paper reviews the development of the method of fundamental solutions (MFS) and some related methods over the last 30 years and describes recent applications and extension. It presents several application of MFS type methods to potential, elaststatics, acoustics and biharmonic problems, and includes a reference list of 124 publications. Reviewer: G.Schmidt (Berlin) Cited in 484 Documents MSC: 65N38 Boundary element methods for boundary value problems involving PDEs 01A60 History of mathematics in the 20th century 35A08 Fundamental solutions to PDEs 65-03 History of numerical analysis 35J25 Boundary value problems for second-order elliptic equations Keywords:elliptic boundary value problems; historical survey; nonlinear least squares; boundary collocation; method of fundamental solutions PDF BibTeX XML Cite \textit{G. Fairweather} and \textit{A. Karageorghis}, Adv. Comput. Math. 9, No. 1--2, 69--95 (1998; Zbl 0922.65074) Full Text: DOI