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On the condition number of integral equations in linear elasticity using the modified Green's function

Published online by Cambridge University Press:  17 February 2009

E. Argyropoulos ,
D. Gintides  and
K. Kiriaki
E. Argyropoulos
Affiliation:
Department of Mathematics, National Technical University of Athens, Zogrufou Campus, 15780 Athens, Greece; e-mail: kkouli@math.ntua.gr.
D. Gintides
Affiliation:
Department of Mathematics, National Technical University of Athens, Zogrufou Campus, 15780 Athens, Greece; e-mail: kkouli@math.ntua.gr.
K. Kiriaki
Affiliation:
Department of Mathematics, National Technical University of Athens, Zogrufou Campus, 15780 Athens, Greece; e-mail: 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.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 3 , January 2003 , pp. 431 - 446
Copyright
Copyright © Australian Mathematical Society 2003

References

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