Date of Award
Spring 5-1-2021
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
School
Mathematics and Natural Sciences
Committee Chair
Dr. James Lambers
Committee Chair School
Mathematics and Natural Sciences
Committee Member 2
Dr. C.S. Chen
Committee Member 2 School
Mathematics and Natural Sciences
Committee Member 3
Dr. Haiyan Tian
Committee Member 3 School
Mathematics and Natural Sciences
Committee Member 4
Dr. Huiqing Zhu
Committee Member 4 School
Mathematics and Natural Sciences
Abstract
Krylov Subspace Spectral (KSS) Methods have demonstrated to be highly scalable methods for PDEs. However, a current limitation of these methods is the requirement of a rectangular or box-shaped domain. Smooth Extension Embedding Methods (SEEM) use fictitious domain methods to extend a general domain to a simple, rectangular or box-shaped domain. This dissertation describes how these methods can be combined to extend the applicability of KSS methods, while also providing a component-wise approach for solving the systems of equations produced with SEEM.
Recommended Citation
Montiforte, Vivian, "A Component-Wise Approach to Smooth Extension Embedding Methods" (2021). Dissertations. 1888.
https://aquila.usm.edu/dissertations/1888
Included in
Numerical Analysis and Computation Commons, Other Mathematics Commons, Partial Differential Equations Commons