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.
Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: The Dirichlet problem
Luigi C. Berselli;
2021-01-01
Abstract
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.File in questo prodotto:
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