543 research outputs found
Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: The Dirichlet problem
In this paper we prove optimal error estimates for {solutions with natural
regularity} of the equations describing the unsteady motion of incompressible
shear-thinning fluids. We consider a full space-time semi-implicit scheme for
the discretization. The main novelty, with respect to previous results, is that
we obtain the estimates directly without introducing intermediate semi-discrete
problems, which enables the treatment of homogeneous Dirichlet boundary
conditions.Comment: arXiv admin note: text overlap with arXiv:2001.0988
Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: The Dirichlet problem
In this paper we prove optimal error estimates for solutions with natural regularity of the equations describing incompressible shear-thinning fluids. We consider a full space-time semi implicit scheme for the discretization. The main novelty, with respect to previous results, is that we obtain the estimates directly without introducing intermediate semi-discrete problems, which enables the treatment of homogeneous Dirichlet boundary conditions
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