Weighted Poincaré inequalities and applications in domain decomposition


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

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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.


Item Type Conference or Workshop Items (UNSPECIFIED)
CreatorsPechstein, C.and Scheichl, R.
DepartmentsFaculty of Science > Mathematical Sciences
ID Code27662


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