Reconstructing unknown inclusions for the biharmonic equation
Analysis of PDEs
2023-06-28 v4
Abstract
Herein, we study an inverse problem for detecting unknown obstacles by the enclosure method using the Dirichlet--to--Neumann map for measurements. We justify the method for an penetrable obstacle case involving a biharmonic equation. We use complex geometrical optics solutions with a logarithmic phase to reconstruct some non--convex parts of the obstacle.
Keywords
Cite
@article{arxiv.2007.06147,
title = {Reconstructing unknown inclusions for the biharmonic equation},
author = {Gyeongha Hwang and Manas Kar},
journal= {arXiv preprint arXiv:2007.06147},
year = {2023}
}