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


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


Recommended Citation

Ji, Lu, "Galerkin - finite element method for elastic wave equations with interface" (1997). Doctoral Dissertations Available from Proquest. AAI9809349.