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- W1971251312 abstract "Rheological behavior of certain non‐Newtonian fluids in engineering sciences is often modeled by power law ansatzes with $p leq 2$. So far, existing numerical analysis for local strong solutions studies a fully implicit time discretization and find only restricted ranges of admissible p’s for corresponding error estimates [A. Prohl and M. Růžička, SIAM J. Numer. Anal., 39 (2001), pp. 214–249]; different nonlinear stabilization strategies which allow a corresponding error analysis for smaller p’s are examined in [L. Diening, Theoretical and Numerical Results for Electrorheological Fluids, Ph.D. thesis, University of Freiburg, Freiburg, Germany, 2002] and [L. Diening, A. Prohl, and M. Růžička, in Nonlinear Problems in Mathematical Physics and Related Topics, II, Kluwer/Plenum, New York, 2002, pp. 89–118]. In the present paper, a semi‐implicit time discretization scheme is proposed, and error estimates apply to the extended range $p in (frac{3}{2} ,2]$. The key analytical tool is a new Gronwall‐type inequality." @default.
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- W1971251312 date "2006-01-01" @default.
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- W1971251312 title "Semi‐implicit Euler Scheme for Generalized Newtonian Fluids" @default.
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- W1971251312 doi "https://doi.org/10.1137/050634335" @default.
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