Date of Award
Doctor of Philosophy (PhD)
Dr. Vincent Ervin, Committee Chair
Dr. Timo Heister
Dr. Lea Jenkins
Dr. Hyesuk Lee
This thesis investigates two nonlinear systems of time-dependent partial differential equations that model a filtration process. Existence and uniqueness results for the governing equations is established. For each system, a finite element scheme capable of approximating the solutions is investigated. Accompanying numerical experiments corroborate the analytical findings. Finally, an optimization application concerning the design of a filter is discussed and supported with a numerical study.
Ramirez, Javier Ruiz, "Time-dependent Stokes-Darcy Flow with Deposition" (2017). All Dissertations. 1968.