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Galerkin - finite element method for elastic wave equations with interface

Lu Ji, University of Massachusetts Amherst

Abstract

In this dissertation an elastic parabolic wave equation which approximates the linear elastic wave equations in a depth-dependent medium with fluid/solid interface is considered. A Galerkin Finite Element Method is developed for the discretization in the depth dimension with particular emphasis on the interface. A high-order implicit Runge-Kutta method is adapted to discretize the equations in the marching direction. A finite element function-space is developed which guarantees that the numerical solutions satisfy an extensive system of boundary and interface conditions. The resulting discrete linear system is shown to be non-singular. ^

Subject Area

Mathematics

Recommended Citation

Ji, Lu, "Galerkin - finite element method for elastic wave equations with interface" (1997). Doctoral Dissertations Available from Proquest. AAI9809349.
http://scholarworks.umass.edu/dissertations/AAI9809349

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