Abstract
We study boundary determination for an inverse problem associated to the time-harmonic Maxwell equations and another associated to the isotropic elasticity system. We identify the electromagnetic parameters and the Lamé moduli for these two systems from the corresponding boundary measurements. In a first step we reconstruct Lipschitz magnetic permeability, electric permittivity and conductivity on the surface from the ideal boundary measurements. Then, we study inverse problems for Maxwell equations and the isotropic elasticity system assuming that the data contains measurement errors. For both systems, we provide explicit formulas to reconstruct the parameters on the boundary as well as its rate of convergence formula.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1171-1195 |
| Number of pages | 25 |
| Journal | Inverse Problems and Imaging |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 2021 |
Bibliographical note
Publisher Copyright:© 2021, American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Inverse boundary value problems
- Lamé system
- Stroh formalism
- boundary determination
- corrupted data
- electromagnetism
- uniqueness
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