Laplace's equation on perturbed domains
| dc.contributor.advisor | Martin, P. A. | |
| dc.contributor.author | McCollom, William A. | |
| dc.date.accessioned | 2007-01-03T05:44:43Z | |
| dc.date.accessioned | 2022-02-09T08:55:27Z | |
| dc.date.available | 2007-01-03T05:44:43Z | |
| dc.date.available | 2022-02-09T08:55:27Z | |
| dc.date.issued | 2014 | |
| dc.date.submitted | 2014 | |
| dc.identifier | T 7679 | |
| dc.identifier.uri | https://hdl.handle.net/11124/12281 | |
| dc.description | 2014 Fall. | |
| dc.description | Includes illustrations. | |
| dc.description | Includes bibliographical references (page 46). | |
| dc.description.abstract | 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. | |
| dc.format.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado School of Mines. Arthur Lakes Library | |
| dc.relation.ispartof | 2010-2019 - Mines Theses & Dissertations | |
| dc.rights | Copyright of the original work is retained by the author. | |
| dc.subject | perturbation | |
| dc.subject | Laplacian | |
| dc.subject | boundary-variation | |
| dc.subject.lcsh | Harmonic functions | |
| dc.subject.lcsh | Perturbation (Mathematics) | |
| dc.subject.lcsh | Dirichlet problem | |
| dc.subject.lcsh | Neumann problem | |
| dc.subject.lcsh | Differential equations, Partial | |
| dc.title | Laplace's equation on perturbed domains | |
| dc.type | Text | |
| dc.contributor.committeemember | Collis, Jon M. | |
| dc.contributor.committeemember | Pankavich, Stephen | |
| thesis.degree.name | Master of Science (M.S.) | |
| thesis.degree.level | Masters | |
| thesis.degree.discipline | Applied Mathematics and Statistics | |
| thesis.degree.grantor | Colorado School of Mines |
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