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A note on indirect boundary element methods for the diffusion equation
Author(s) -
Sharp S.
Publication year - 1983
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610070209
Subject(s) - geomechanics , boundary element method , equivalence (formal languages) , finite element method , mathematics , boundary (topology) , element (criminal law) , mathematical analysis , calculus (dental) , geology , engineering , structural engineering , geotechnical engineering , medicine , dentistry , discrete mathematics , political science , law
Abstract This paper corrects an impression, created by a recent contribution to the International Journal for Numerical and Analytical Methods in Geomechanics , that the mathematical equivalence of the direct and indirect boundary element methods for the diffusion equation implies that their respective computational needs with regard to the body integral terms are equal. It is shown that in a stepwise implementation of the numerical procedure for solving a finite body problem, indirect methods requirean integration over an infinite region and not merely over the body as is the case for the direct version.