Laplace's equation on perturbed domains

Laplace's equation is a prototypical elliptic PDE that appears in many electromagnetic and fluid dynamics problems. We develop two methods for solving Laplace's equation on domains that are perturbations of a circle. These methods are derived from governing equations and applied to several test cases. Both Dirichlet and Neumann boundary conditions are considered. We verify our methods by constructing exact solutions for the perturbed geometries.

Name thesis:degree_name

Master of Science (M.S.)

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Applied Mathematics and Statistics

Grantor dc:publisher

Colorado School of Mines. Arthur Lakes Library

Year dc:date.issued

2014

Author dc:creator

• McCollom, William A.

Advisor dc:contributor.advisor

• Martin, P. A.

Committee members dc:contributor.committeemember

• Collis, Jon M.
• Pankavich, Stephen

• perturbation
• Laplacian
• boundary-variation

Statement dc:rights

• Copyright of the original work is retained by the author.

Language dc:language.iso

eng, English

Identifier

T 7679

OAI identifier oai:identifier

oai:repository.mines.edu:11124/12281