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

Language

English


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