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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 3
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Original Articles

The (F*F) 1/4-method for the transmission problem in two-dimensional linear elasticity

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Pages 311-328 | Received 01 Jul 2004, Published online: 17 Aug 2006
 

Abstract

In this article we present an inversion algorithm for the determination of the shape of a two-dimensional penetrable obstacle from knowledge of the elastic field generated by an incident plane compressional and shear wave. In particular, Kirsch's improved variant of the linear sampling method, the so called (F * F )1/4-method is extended to the elastic case. A mathematical analysis that reveals the compactness and normality of the far-field operator is presented. Finally, numerical results are presented showing the robustness of the (F * F )1/4-method with respect to noise.

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