Conjugate Gradient-boundary Element Method
For A Cauchy Problem In The Lame System
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
Related Book
Other papers in this volume
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