WIT Press


Symbolic Computation For Boundary Element Methods

Price

Free (open access)

Paper DOI

10.2495/EL930231

Volume

3

Pages

8

Published

1993

Size

736 kb

Author(s)

P.P. Silvester

Abstract

Symbolic computation for boundary element methods P.P. Silvester Engmeermg, ABSTRACT In boundary element methods particular attention must be paid to projection integrals whose source and field elements coincide. Singula- rities in the Green's function kernels there make numerical quadrature unreliable so exact analytic integration is to be preferred. Contemporary symbolic algebra systems can evaluate many such integrals, but difficul- ties still arise from geometric complexity and from multi-dimensional or multi-branched singularities. Many two-dimensional singularities can be reduced to one dimension by coordinate transformations, resolving ambi- guities and yielding high-order boundary elements. The process is illustra- ted by computing the geometric mean distances of current distribution functions in flat strip conductors, for which a symbolic algebra program in the Maple language is given. INTRODUCTION Symbolic computation is the art a

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