On the condition number of integral equations in linear elasticity using the modified Green's function
Keyword(s):
AbstractIn 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.
2013 ◽
Vol 66
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pp. 609-640
1998 ◽
Vol 51
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pp. 275-296
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1991 ◽
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pp. 94-102
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2002 ◽
Vol 2
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pp. 381-398
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2011 ◽
Vol 35
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pp. 667-677
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2018 ◽
Vol 333
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pp. 362-381
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