Boundary Element Solution For The Cauchy Problem In Linear Elasticity
Author(s)
L. Marin, L. Elliott, D.B. Ingham & D. Lesnic
Abstract
Boundary element solution for the Cauchy
problem in linear elasticity
L. Marin, L. Elliott, D.B. Ingham & D. Lesnic
Department of Applied Mathematics, University of Leeds, UK
Abstract
In this paper we investigate the solution of the Cauchy problem in lin-
ear elasticity using the iterative algorithm proposed by Kozlov et al. [I]
for obtaining approximate solutions to ill-posed boundary value problems.
The technique is then numerically implemented using the boundary element
method (BEM). The numerical results obtained confirm that the iterative
BEM produces a convergent and stable numerical solution with respect to
increasing the number of boundary elements and decreasing the amount of
noise added into the input data. An efficient stopping regularizing criterion
is given and in addition the accuracy of the iterative algorithm is improved
by using a variable relaxation procedure.
1 Introduction
Consider an isotropic linear elastic material which occupies an open bounded
Keywords
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