Document Type

Thesis

Date of Award

5-31-2021

Degree Name

Master of Science in Applied Mathematics - (M.S.)

Department

Mathematical Sciences

First Advisor

Cristina Frederick

Second Advisor

Brittany Froese Hamfeldt

Third Advisor

Yassine Boubendir

Abstract

Underwater acoustic scattering problems have several important applications ranging from sonar imaging in target detection to providing information for sediment classification and geoacoustic inversion. This work presents numerical methods for time-harmonic acoustic scattering problems, specifically, finite element methods for the Helmholtz equation. Furthermore, an iterative domain decomposition formulation is introduced for acoustic scattering problems where the physical domain consists of multiple layers of different materials.

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