Author ORCID Identifier
0009-0008-2791-4167
Document Type
Dissertation
Date of Award
8-31-2026
Degree Name
Doctor of Philosophy in Mathematical Sciences - (Ph.D.)
Department
Mathematical Sciences
First Advisor
Yassine Boubendir
Second Advisor
Eliza Zoi-Heleni Michalopoulou
Third Advisor
Travis Askham
Fourth Advisor
Tien N. Nguyen
Fifth Advisor
Ali Abdi
Abstract
A stable and numerically efficient boundary integral method formulation of the elasto-acoustic problem is presented, based on Fourier analysis. The method generalizes well to multiple scattering. The Frechet derivative of the elasto-acoustic problem with respect to shape perturbations is derived, and geometric flow theory is used to design stable numerical methods for the simulation of moving boundaries. The shape derivative is used to define a regularized Gauss-Newton algorithm for shape fitting of elasto-acoustic scatterers.
Recommended Citation
Grice, Patrick, "The inverse elasto-acoustic problem" (2026). Dissertations. 1897.
https://digitalcommons.njit.edu/dissertations/1897
