Master of Science (MS)
First Committee Member
Second Committee Member
Third Committee Member
Fourth Committee Member
Number of Pages
Towards numerical analyses for ﬂuid-structure interaction (FSI) problems in the future, in this thesis the arbitrary Lagrangian-Eulerian (ALE) ﬁnite element method within a conservative form is developed and analyzed for a linearized FSI problem - an unsteady Stokes/parabolic interface problem with jump coeﬃcients and moving interface, and the corresponding mixed ﬁnite element approximation is developed and analyzed for both semi- and fully discrete schemes based upon the so-called conservative formulation. In terms of a novel H1-projection technique, their stability and optimal convergence properties are obtained for approximating the real solution equipped with lower regularity.
University of Nevada, Las Vegas
Ramirez, Michael Joseph, "Numerical Study in the Conservative Arbitrary Lagrangian-Eulerian (ALE) Method for an Unsteady Stokes/Parabolic Interface Problem with Jump Coefficients and a Moving Interface" (2019). UNLV Theses, Dissertations, Professional Papers, and Capstones. 3666.
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