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Weighted Poincaré inequalities and applications in domain decomposition


Reference:

Pechstein, C. and Scheichl, R., 2010. Weighted Poincaré inequalities and applications in domain decomposition. Heidelberg: Springer, pp. 197-204.

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Abstract

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.

Details

Item Type Conference or Workshop Items (UNSPECIFIED)
CreatorsPechstein, C.and Scheichl, R.
DOI10.1007/978-3-642-11304-8_21
DepartmentsFaculty of Science > Mathematical Sciences
StatusPublished
ID Code27662

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