3R2. Fourier BEM: Generalization of Boundary Element Methods by Fourier Transform. Lecture Notes in Applied Mechanics Volume 5. - FME Duddeck (Lehrstuhl fur Baumechanik, Technische Univ, Arcisstr 21, Munchen, 80333, Germany). Springer-Verlag, Berlin. 2002. 181 pp. ISBN 3-540-43138-1. $79.95.
Reviewed by G Maier (Dept of Struct Eng, Tech Univ Politecnico, Piazza Leonardo Da Vinci 32, Milan, 20133, Italy).
The boundary element methods (BEMs), namely the traditional “collocation” method (CBEM) and the more recent “symmetric Galerkin” (SGBEM), are at present fairly well consolidated and understood in their potentialities and limitations. In particular, the latter BEM, after space modeling, leads to symmetric (through still densely populated) matrix operators, can be generated by variational approaches and in some application areas is endowed with useful theoretical results such as solution characterizations and convergence criteria.
This research book (and perhaps textbook) presents a remarkable and promising...