A posteriori error estimators for the Stokes equations II non-conforming discretizations.
R. Verfürth (1991/92)
Numerische Mathematik
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R. Verfürth (1991/92)
Numerische Mathematik
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Mark Ainsworth, Alan Craig (1991/92)
Numerische Mathematik
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R. Durán, M.A. Muschietti, ... (1991)
Numerische Mathematik
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E. Dari, R. Duran, C. Padra, V. Vampa (1996)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Burda, Pavel, Hasal, Martin
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We derive a residual based a posteriori error estimate for the Stokes-Brinkman problem on a two-dimensional polygonal domain. We use Taylor-Hood triangular elements. The link to the possible information on the regularity of the problem is discussed.
T.A. Porsching (1977/1978)
Numerische Mathematik
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Etienne Emmrich (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The incompressible Navier-Stokes problem is discretized in time by the two-step backward differentiation formula. Error estimates are proved under feasible assumptions on the regularity of the exact solution avoiding hardly fulfillable compatibility conditions. Whereas the time-weighted velocity error is of optimal second order, the time-weighted error in the pressure is of first order. Suboptimal estimates are shown for a linearisation. The results cover both the two- and three-dimensional...