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Domain Decomposition for Boundary Integral Equations via Local Multi-Trace Formulations

by R. Hiptmair and C. Jerez-Hanckes and J. Lee and Z. Peng

(Report number 2013-08)

Abstract
We review the ideas behind and the construction of so-called local multi-trace boundary integral equations for second-order boundary value problems with piecewise constant coefficients. These formulations have received considerable attention recently as a promising domain-decomposition approach to boundary element methods.

Keywords: Boundary integral equations (BIE), Calderon projectors, local multi- trace BIE, optimized transmission conditions, Schwarz method

@Techreport{HJLP13_504,
  author = {R. Hiptmair and C. Jerez-Hanckes and J. Lee and Z. Peng},
  title = {Domain Decomposition for Boundary Integral Equations via Local Multi-Trace Formulations},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2013-08},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2013/2013-08.pdf },
  year = {2013}
}

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