WIT Press


The Solution Of Boundary Element Problems Using Symbolic Computation

Price

Free (open access)

Paper DOI

10.2495/BT930261

Volume

3

Pages

13

Published

1993

Size

952 kb

Author(s)

A. Almeida & H.L. Pina

Abstract

The paper explores the potential of using Symbolic Computation in BEM problems. The work focuses on the following aspects: the de- velopment of analytic integration formulae to compute the element matrices with either regular or singular kernels, the study of how collocation node placement influences the results and the possibility of automatic FORTRAN code generation via Symbolic Computation Packages. 1 Introduction Let us consider the following boundary value problem (b.v.p.). Find u G C^(fi) (in order to be a solution in the classical sense) such that: v^(x) = o, Vxenc]R\ (i) Q is a open bounded subset of IR^, and F its Lipschitz-continuous boundary. The boundary conditions are taken as w(x) =

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