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

Simple item page
dc.contributor.advisorBorcea, Liliana
dc.contributor.committeeMemberRiviere, Beatrice M.
dc.contributor.committeeMemberSymes, William W.
dc.contributor.committeeMemberHardt, Robert M.
dc.creatorWang, Yingpei
dc.date.accessioned2016-02-05T21:45:48Z
dc.date.available2016-02-05T21:45:48Z
dc.date.created2014-12
dc.date.issued2014-08-01
dc.date.submittedDecember 2014
dc.date.updated2016-02-05T21:45:48Z
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.
dc.format.mimetypeapplication/pdf
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>.
dc.identifier.urihttps://hdl.handle.net/1911/88418
dc.language.isoeng
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.
dc.subjectAsymptotic approximation
dc.subjecthigh contrast
dc.subjectDirichlet to Neumann Map
dc.subjectdomain decomposition methods
dc.subjectpreconditioner
dc.titleOn the approximation of the Dirichlet to Neumann map for high contrast two phase composites and its applications to domain decomposition methods
dc.typeThesis
dc.type.materialText
thesis.degree.departmentComputational and Applied Mathematics
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
WANG-DOCUMENT-2014.pdf
Size:
2.46 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
PROQUEST_LICENSE.txt
Size:
5.84 KB
Format:
Plain Text
Description:
Download
No Thumbnail Available
Name:
LICENSE.txt
Size:
2.61 KB
Format:
Plain Text
Description:
Download
Collections
Rice University Electronic Theses and Dissertations