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dc.contributor.authorLai, Junyu
dc.date.accessioned2021-06-01 16:52:52 (GMT)
dc.date.available2021-06-01 16:52:52 (GMT)
dc.date.issued2021-06-01
dc.date.submitted2021-05-10
dc.identifier.urihttp://hdl.handle.net/10012/17054
dc.description.abstractWe propose and evaluate fast, scalable approaches for solving the linear complementarity problems (LCP) arising from the fluid pressure equations with separating solid boundary conditions. Specifically, we present a policy iteration method, a penalty method, and a modified multigrid method, and demonstrate that each is able to properly handle the desired boundary conditions. Moreover, we compare our proposed methods against existing approaches and show that our solvers are more efficient and exhibit better scaling behavior; that is, the number of iterations required for convergence is essentially independent of grid resolution, and thus they are faster at larger grid resolutions. For example, on a 256^3 grid our multigrid method was 30 times faster than the prior multigrid method in the literature.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.titleFast and Scalable Solvers for the Fluid Pressure Equations with Separating Solid Boundary Conditionsen
dc.typeMaster Thesisen
dc.pendingfalse
uws-etd.degree.departmentDavid R. Cheriton School of Computer Scienceen
uws-etd.degree.disciplineComputer Scienceen
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.degreeMaster of Mathematicsen
uws-etd.embargo.terms0en
uws.contributor.advisorWan, Justin
uws.contributor.affiliation1Faculty of Mathematicsen
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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