Shape reconstruction in linear elasticity: Standard and linearized monotonicity method

Sarah Eberle, Bastian Harrach

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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.

Original languageEnglish
Article number045006
JournalInverse Problems
Volume37
Issue number4
DOIs
StatePublished - Apr 2021
Externally publishedYes

Keywords

  • inverse problem
  • linear elasticity
  • monotonicity method
  • shape reconstruction

Fingerprint

Dive into the research topics of 'Shape reconstruction in linear elasticity: Standard and linearized monotonicity method'. Together they form a unique fingerprint.

Cite this