Reconstructing unknown inclusions for the biharmonic equation

Gyeongha Hwang; Manas Kar

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arXiv · 2007.06147

Reconstructing unknown inclusions for the biharmonic equation

Gyeongha Hwang·Manas Kar

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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.

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Gyeongha Hwang, Manas Kar. 2020-07-13. Reconstructing unknown inclusions for the biharmonic equation. https://arxiv.org/abs/2007.06147

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