Borcea, Liliana2016-02-052016-02-052014-122014-08-01December 2Wang, 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>.https://hdl.handle.net/1911/88418An 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.application/pdfengCopyright 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.Asymptotic approximationhigh contrastDirichlet to Neumann Mapdomain decomposition methodspreconditionerThesis2016-02-05