Weighted Poincaré inequalities and applications in domain decomposition

Clemens Pechstein, Robert Scheichl

Research output: Chapter or section in a book/report/conference proceedingChapter or section

16 Citations (SciVal)


Poincare´ type inequalities play a central role in the analysis of domain decomposition and multigrid methods for second-order elliptic problems. However, when the coefficient varies within a subdomain or within a coarse grid element, then standard condition number bounds for these methods may be overly pessimistic. In this short note we present new weighted Poincare´ type inequalities for a class of piecewise constant coefficients that lead to sharper bounds independent of any possible large contrasts in the coefficients.
Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XIX
Place of PublicationHeidelberg
Number of pages8
Publication statusPublished - 2010


Dive into the research topics of 'Weighted Poincaré inequalities and applications in domain decomposition'. Together they form a unique fingerprint.

Cite this