The Boundary Element Method Applied to the Two Dimensional Stefan Moving Boundary Problem

Author

Donald C. Vosika

Date of Award

3-1991

Document Type

Thesis

Degree Name

Master of Science

Department

Department of Mathematics and Statistics

First Advisor

Dennis Quinn, PhD

Abstract

This thesis considers problems for which the boundary is not known before the problem is solved and must be determined as part of the solution. We consider a time dependent problem which results in a moving boundary. We look at the heat conduction/diffusion equation in one and two spatial dimensions. We use Green's Theorem to yield a Volterra boundary integral equation which involves an unknown function on the moving boundary. We use the boundary element method to obtain a solution. Graphical results for the two dimensional problem are presented.

AFIT Designator

AFIT-GCS-ENC-91M-1

DTIC Accession Number

ADA238458

Comments

The author's Vita page is omitted.

Recommended Citation

Vosika, Donald C., "The Boundary Element Method Applied to the Two Dimensional Stefan Moving Boundary Problem" (1991). Theses and Dissertations. 7926.
https://scholar.afit.edu/etd/7926