Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology

Lars Diening, Christian Kreuzer, ENDRE E. SÜLI · SIAM Journal on Numerical Analysis · 2013

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 multivalued, maximal monotone $r$-graph with $1

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