# Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology

Diening L, Kreuzer C, Süli E (2013)
SIAM Journal on Numerical Analysis 51(2): 984-1015.

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We develop the analysis of finite element approximations of implicit power-law-like models for viscous incompressible fluids. The Cauchy stress and the symmetric part of the velocity gradient in the class of models under consideration are related by a, possibly multi--valued, maximal monotone $r$-graph, with \$1
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Diening L, Kreuzer C, Süli E. Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM Journal on Numerical Analysis. 2013;51(2):984-1015.
Diening, L., Kreuzer, C., & Süli, E. (2013). Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM Journal on Numerical Analysis, 51(2), 984-1015. doi:10.1137/120873133
Diening, L., Kreuzer, C., and Süli, E. (2013). Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM Journal on Numerical Analysis 51, 984-1015.
Diening, L., Kreuzer, C., & Süli, E., 2013. Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM Journal on Numerical Analysis, 51(2), p 984-1015.
L. Diening, C. Kreuzer, and E. Süli, “Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology”, SIAM Journal on Numerical Analysis, vol. 51, 2013, pp. 984-1015.
Diening, L., Kreuzer, C., Süli, E.: Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM Journal on Numerical Analysis. 51, 984-1015 (2013).
Diening, Lars, Kreuzer, Christian, and Süli, Endre. “Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology”. SIAM Journal on Numerical Analysis 51.2 (2013): 984-1015.
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arXiv 1204.2145