On the approximation of the Dirichlet to Neumann map for high contrast two phase composites and its applications to domain decomposition methods

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dc.contributor.advisorBorcea, Lilianaen_US
dc.contributor.committeeMemberRiviere, Beatrice M.en_US
dc.contributor.committeeMemberSymes, William W.en_US
dc.contributor.committeeMemberHardt, Robert M.en_US
dc.creatorWang, Yingpeien_US
dc.date.accessioned2016-02-05T21:45:48Zen_US
dc.date.available2016-02-05T21:45:48Zen_US
dc.date.created2014-12en_US
dc.date.issued2014-08-01en_US
dc.date.submittedDecember 2014en_US
dc.date.updated2016-02-05T21:45:48Zen_US
dc.description.abstractAn asymptotic approximation of the Dirichlet to Neumann (DtN) map of high contrast composite media with perfectly conducting inclusions that are close to touching is presented. The result is an explicit characterization of the DtN map in the asymptotic limit of the distance between the inclusions tending to zero. The approximation of DtN map is applied directly to nonoverlapping domain decomposition methods as preconditioners in order to obtain more computational efficiency.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationWang, Yingpei. "On the approximation of the Dirichlet to Neumann map for high contrast two phase composites and its applications to domain decomposition methods." (2014) Diss., Rice University. <a href="https://hdl.handle.net/1911/88418">https://hdl.handle.net/1911/88418</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/88418en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectAsymptotic approximationen_US
dc.subjecthigh contrasten_US
dc.subjectDirichlet to Neumann Mapen_US
dc.subjectdomain decomposition methodsen_US
dc.subjectpreconditioneren_US
dc.titleOn the approximation of the Dirichlet to Neumann map for high contrast two phase composites and its applications to domain decomposition methodsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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