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.
Recommended Citation
Ozochiawaeze, General, "Finite element modeling of underwater acoustic environments and domain decomposition methods" (2021). Theses. 1837.
https://digitalcommons.njit.edu/theses/1837