On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations.
Jie Shen (1992)
Numerische Mathematik
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Jie Shen (1992)
Numerische Mathematik
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Vivette Girault, Béatrice Rivière, Mary F. Wheeler (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we solve the time-dependent incompressible Navier-Stokes equations by splitting the non-linearity and incompressibility, and using discontinuous or continuous finite element methods in space. We prove optimal error estimates for the velocity and suboptimal estimates for the pressure. We present some numerical experiments.
Burda, Pavel, Novotný, Jaroslav, Sousedík, Bedřich, Šístek, Jakub
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We consider the Navier-Stokes equations for the incompressible flow in channels with forward and backward steps. The paper consists of two main parts. In the first part we investigate a posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains. We apply the a posteriori estimates to solve an incompressible flow problem in a domain with corners that cause singularities in the solution. Second part of the paper stands on the result on the...
M.D. Gunzburger, J.S. Peterson (1983)
Numerische Mathematik
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