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Article overview
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Exact constants in Poincare type inequalities for functions with zero mean boundary traces | | Alexander I. Nazarov
; Sergey I. Repin
; | | Date: |
9 Nov 2012 | | Abstract: | In the paper, we investigate Poincare type inequalities for the functions
having zero mean value on the whole boundary of a Lipschitz domain or on a
measurable part of the boundary. We derive exact and easily computable
constants for some basic domains (rectangles, cubes, and right triangles). In
the last section, we derive an a estimate of the difference between the exact
solutions of two boundary value problems. Constants in Poincare type
inequalities enter these estimates, which provide guaranteed a posteriori error
control. | | Source: | arXiv, 1211.2224 | | Services: | Forum | Review | PDF | Favorites | |
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