Journal
MATHEMATICS OF COMPUTATION
Volume 86, Issue 308, Pages 2651-2686Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/mcom/3175
Keywords
Boundary element method; inverse estimates; adaptivity; efficiency; hp-finite element spaces
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Funding
- Austrian Science Fund (FWF) [P27005]
- FWF doctoral school [W124]
- CONICYT through FONDECYT project [3150012, 3140614]
- NSF [DMS-1318916]
- Austrian Science Fund (FWF) [W1245, P27005] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [P 27005] Funding Source: researchfish
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We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded Lipschitz domain Omega in R-d for d >= 2 with piecewise smooth boundary. For piecewise polynomial ansatz spaces and is an element of {2, 3}, the inverse estimates are explicit in both the local mesh width and the approximation order. An application to efficiency-type estimates in a posteriori error estimation in boundary element methods is given.
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