Show simple item record

dc.contributor.advisorMartin, P. A.
dc.contributor.authorMcCollom, William A.
dc.date.accessioned2007-01-03T05:44:43Z
dc.date.accessioned2022-02-09T08:55:27Z
dc.date.available2007-01-03T05:44:43Z
dc.date.available2022-02-09T08:55:27Z
dc.date.issued2014
dc.date.submitted2014
dc.identifierT 7679
dc.identifier.urihttp://hdl.handle.net/11124/12281
dc.description2014 Fall.
dc.descriptionIncludes illustrations.
dc.descriptionIncludes bibliographical references (page 46).
dc.description.abstractLaplace'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.mediumborn digital
dc.format.mediummasters theses
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado School of Mines. Arthur Lakes Library
dc.relation.ispartof2014 - Mines Theses & Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectperturbation
dc.subjectLaplacian
dc.subjectboundary-variation
dc.subject.lcshHarmonic functions
dc.subject.lcshPerturbation (Mathematics)
dc.subject.lcshDirichlet problem
dc.subject.lcshNeumann problem
dc.subject.lcshDifferential equations, Partial
dc.titleLaplace's equation on perturbed domains
dc.typeText
dc.contributor.committeememberCollis, Jon M.
dc.contributor.committeememberPankavich, Stephen
thesis.degree.nameMaster of Science (M.S.)
thesis.degree.levelMasters
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines


Files in this item

Thumbnail
Name:
McCollom_mines_0052N_10620.pdf
Size:
442.8Kb
Format:
PDF
Description:
Laplace's equation on perturbed ...

This item appears in the following Collection(s)

Show simple item record