WIT Press


Conjugate Gradient-boundary Element Method For A Cauchy Problem In The Lame System

Price

Free (open access)

Paper DOI

10.2495/BT010221

Volume

27

Pages

10

Published

2001

Size

711 kb

Author(s)

L. Marin, D.N. Hao & D. Lesnic

Abstract

In this paper an iterative algorithm, based on the conjugate gradient method (CGM), for obtaining approximate solutions to the Cauchy problem in lin- ear elasticity is analysed, using the boundary element method (BEM). The numerical results obtained confirm that the iterative BEM produces a con- vergent and stable numerical solution with respect to increasing the number of boundary elements and decreasing the amount of noise added into the input data. 1 Introduction Consider a linear elastic material which occupies an open bounded domain fi C R*, where d is the dimension of the space in which the problem is posed, usually d £ {1,2,3}, and assume that fi is bounded by a surface F = <9f2 £ C*. We also assume that the boundary consists of two parts, r =

Keywords