The Solution Of Boundary Element Problems Using Symbolic Computation
Price
Free (open access)
Transaction
Volume
3
Pages
13
Published
1993
Size
952 kb
Paper DOI
10.2495/BT930261
Copyright
WIT Press
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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