Boundary Elements and Other Mesh Reduction Methods XXXII 2010
DOI: 10.2495/be100201
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The boundary element method revisited

Abstract: The collocation boundary element method is derived on the basis of the weighted-residuals statement. Only the static case is addressed, as it already involves all relevant conceptual issues. The present outline brings to discussion some relevant aspects and implementation issues of the method that should belong in any text book. It is shown that, if the boundary element method is consistently formulated, an inherent error term -related to arbitrary rigid-body displacements -is naturally taken into account and … Show more

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Cited by 12 publications
(19 citation statements)
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“…The singular integrals can be always evaluated mathematically in correspondence to simple mechanical meanings [1]. A conceptual assessment of eqn (10) is given in Reference [8].…”
Section: Conventional and Modified Boundary Element Methodsmentioning
confidence: 99%
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“…The singular integrals can be always evaluated mathematically in correspondence to simple mechanical meanings [1]. A conceptual assessment of eqn (10) is given in Reference [8].…”
Section: Conventional and Modified Boundary Element Methodsmentioning
confidence: 99%
“…They are actually theorems that must be proven from some mechanical axioms. Some of them have already been dealt with in References [6][7][8][9][10]. In this paper, one attempts to keep full consistency of the equations while being not too formal.…”
Section: Some Virtual-work Statementsmentioning
confidence: 99%
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