Award Date
5-1-2019
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
First Committee Member
Pengtao Sun
Second Committee Member
Jichun Li
Third Committee Member
Hongtao Yang
Fourth Committee Member
Monika Neda
Fifth Committee Member
Hui Zhao
Number of Pages
44
Abstract
In this thesis, a non-conservative arbitrary Lagrangian-Eulerian (ALE) method is developed
and analyzed for a type of linearized Fluid-Structure Interaction (FSI) problem in a
time dependent domain with a moving interface - an unsteady Stokes/parabolic interface
problem with jump coefficients. The corresponding mixed finite element approximation is
analyzed for both semi- and full discretization based upon the so-called non-conservative
ALE scheme. The stability and optimal convergence properties in the energy norm are
obtained for both schemes.
Keywords
Fluid-structure interaction
Disciplines
Mathematics | Mechanical Engineering
File Format
Degree Grantor
University of Nevada, Las Vegas
Language
English
Repository Citation
Kesler, Ian, "A Monolithic Arbitrary Lagrangian-Eulerian Finite Element Method for an Unsteady Stokes/Parabolic Interface Problem" (2019). UNLV Theses, Dissertations, Professional Papers, and Capstones. 3627.
http://dx.doi.org/10.34917/15778480
Rights
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