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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.
Original language | English |
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Title of host publication | Domain Decomposition Methods in Science and Engineering XIX |
Place of Publication | Heidelberg |
Publisher | Springer |
Pages | 197-204 |
Number of pages | 8 |
Volume | 78 |
DOIs | |
Publication status | Published - 2010 |
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Dive into the research topics of 'Weighted Poincaré inequalities and applications in domain decomposition'. Together they form a unique fingerprint.Projects
- 1 Finished
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Multilevel Monte Carlo Methods for Elliptic Problems
Scheichl, R. (PI)
Engineering and Physical Sciences Research Council
1/07/11 → 30/06/14
Project: Research council