Shape reconstruction in linear elasticity: Standard and linearized monotonicity method

Sarah Eberle, Bastian Harrach

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

11 Zitate (Scopus)

Abstract

In this paper, we deal with the inverse problem of the shape reconstruction of inclusions in elastic bodies. The main idea of this reconstruction is based on the monotonicity property of the Neumann-to-Dirichlet operator presented in a former article of the authors. Thus, we introduce the so-called standard as well as linearized monotonicity tests in order to detect and reconstruct inclusions. In addition, we compare these methods with each other and present several numerical test examples.

OriginalspracheEnglisch
Aufsatznummer045006
FachzeitschriftInverse Problems
Jahrgang37
Ausgabenummer4
DOIs
PublikationsstatusVeröffentlicht - Apr. 2021
Extern publiziertJa

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