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dc.contributor.advisorHuang, Weizhang
dc.contributor.authorNgo, Cuong
dc.date.accessioned2018-04-20T22:27:30Z
dc.date.available2018-04-20T22:27:30Z
dc.date.issued2017-05-31
dc.date.submitted2017
dc.identifier.otherhttp://dissertations.umi.com/ku:15278
dc.identifier.urihttp://hdl.handle.net/1808/26343
dc.description.abstractPorous medium equation (PME) has been found in many applications of the physical sciences. The equation is nonlinear, degenerate, and in many situations has a free boundary, which altogether pose great challenges for mathematical and numerical analyses. In contrast with the mathematical development of PME, which began in the 1950s and has since had much success, studies of numerical solution did not appear until the 1980s. Though a significant progress has been made since then for the 1D setting, only limited success has been observed for 2D cases. In this dissertation, we will propose several moving mesh methods which improve the accuracy and convergence order of the PME numerical solution.
dc.format.extent120 pages
dc.language.isoen
dc.publisherUniversity of Kansas
dc.rightsCopyright held by the author.
dc.subjectMathematics
dc.subjectAdaptive moving mesh method
dc.subjectFinite element method
dc.subjectFree boundary
dc.subjectHessian-based adaptivity
dc.subjectMMPDE method
dc.subjectPorous medium equation
dc.titleMoving mesh methods for numerical solution of porous medium equations
dc.typeDissertation
dc.contributor.cmtememberVan Vleck, Erik
dc.contributor.cmtememberTu, Xuemin
dc.contributor.cmtememberXu, Hongguo
dc.contributor.cmtememberZheng, Charlie
dc.thesis.degreeDisciplineMathematics
dc.thesis.degreeLevelPh.D.
dc.identifier.orcid
dc.rights.accessrightsopenAccess


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