Error Estimates for MAC-Like Approximations to the Linear Navier-Stokes Equations.
T.A. Porsching (1977/1978)
Numerische Mathematik
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T.A. Porsching (1977/1978)
Numerische Mathematik
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R. Glowinski, Y. Achdou, ... (1992)
Numerische Mathematik
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Jie Shen (1992)
Numerische Mathematik
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M. Dobrowolski (1980/81)
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...