ANZIAM J.
44 (2003), 431-446
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On the condition number of integral equations in linear elasticity using the modified Green's function
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E. Argyropoulos
Department of Mathematics
National Technical University of Athens
Zografou Campus
15780 Athens
Greece
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D. Gintides
Department of Mathematics
National Technical University of Athens
Zografou Campus
15780 Athens
Greece
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K. Kiriaki
Department of Mathematics
National Technical University of Athens
Zografou Campus
15780 Athens
Greece
kkouli@math.ntua.gr
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Abstract
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In this work the modified Green's function
technique for an exterior Dirichlet and Neumann
problem in linear elasticity is investigated. We
introduce a modification of the fundamental
solution in order to remove the lack of
uniqueness for the solution of the boundary
integral equations describing the problems, and
to simultaneously minimise their condition
number. In view of this procedure the cases of
the sphere and perturbations of the sphere are
examined. Numerical results that demonstrate the
effect of increasing the number of coefficients
in the modification on the optimal condition
number are also presented.
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