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‘E’ can mean eigenfunction in BEM. (English) Zbl 0815.65120

Brebbia, C. A. (ed.), Boundary element method XVI. 16th international boundary element method conference, Southampton, GB, 12-15 July 1994. Vol. 1. Southampton: Computational Mechanics Publications. 3-10 (1994).
This is a short essay on the history of the boundary element/integral methods as seen by the author. Topics include: separation of variables, iteration, Trefftz methods, asymptotic expansions, T-matrix methods, null field methods and embedding methods.
The mathematical part is devoted to a short exposition of eigenfunction expansion methods for the solution of integral equations.
For the entire collection see [Zbl 0802.00025].

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35C15 Integral representations of solutions to PDEs
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs