The method of fundamental solutions for elliptic boundary value problems. (English) Zbl 0922.65074

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)


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
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