Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: the Dirichlet problem

Luigi C. Berselli () and Michael Růžička ()
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Luigi C. Berselli: Università di Pisa
Michael Růžička: Albert-Ludwigs-University Freiburg

Partial Differential Equations and Applications, 2021, vol. 2, issue 4, 1-23

Abstract: Abstract 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.

Keywords: Space-time discretization; Generalized Newtonian fluids; Error analysis; 65M60; 65M15; 35B35 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00082-y

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