Degree Type
Dissertation
Date of Award
2001
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Max D. Gunzburger
Abstract
We consider a domain decomposition method for a fluid-structure interaction problem. The fluid-structure interaction problem involves two mathematical models, each posed on a different domain, so that domain decomposition occurs naturally. Our approach to a domain decomposition method is based on a strategy in which unknown data at the interface is determined through an optimization process. We prove that the solution of the optimization problem exists. And we show that the Lagrange multiplier rule may be used to transform the constrained optimization problem into an unconstrained one and that rule is applied to derive an optimality system from which optimal solutions may be obtained. We then study a gradient method for solving optimization problem.
DOI
https://doi.org/10.31274/rtd-180813-9909
Publisher
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu
Copyright Owner
Jeehyun Lee
Copyright Date
2001
Language
en
Proquest ID
AAI3016721
File Format
application/pdf
File Size
49 pages
Recommended Citation
Lee, Jeehyun, "Optimization-based domain decomposition methods for multidisciplinary simulation " (2001). Retrospective Theses and Dissertations. 1056.
https://lib.dr.iastate.edu/rtd/1056
