Off-campus UMass Amherst users: To download dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.

Non-UMass Amherst users, please click the view more button below to purchase a copy of this dissertation from Proquest.

(Some titles may also be available free of charge in our Open Access Dissertation Collection, so please check there first.)

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

Lu Ji, "Galerkin - finite element method for elastic wave equations with interface" (January 1, 1997). Doctoral Dissertations Available from Proquest. Paper AAI9809349.
http://scholarworks.umass.edu/dissertations/AAI9809349

Share

COinS