Affiliation:
1. Department of Applied Mathematical & Physical Sciences , National Technical University of Athens , 15780 Zografu , Greece
2. NEPLAN AG , Oberwachtstr. 2, CH-8700 Küsnacht (ZH) , Switzerland
Abstract
Abstract
Recently in [V. Markaki, D. Kourounis and A. Charalambopoulos,
A dual self-monitored reconstruction scheme on the
TV
\mathrm{TV}
-regularized inverse conductivity problem,
IMA J. Appl. Math. 86 2021, 3, 604–630], a novel reconstruction scheme has been developed for the solution of the inclusion problem in the inverse conductivity problem on the basis of a weighted self-guided regularization process generalizing the total variation approach. The present work extends this concept by implementing and investigating its applicability in the two-dimensional elasticity setting. To this end, we employ the framework of the reconstruction of linear and isotropic elastic structures described by their Lamé parameters. Numerical examples of increasingly challenging geometric complexities illustrate the enhanced accuracy and efficiency of the method.
Funder
Hellenic Foundation for Research and Innovation