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A Monolithic Arbitrary Lagrangian-Eulerian Finite Element Method For An Unsteady Stokes/Parabolic Interface Problem, Ian Kesler
UNLV Theses, Dissertations, Professional Papers, and Capstones
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.