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

Journal article

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

Authors: Diening, L; Kreuzer, C; Süli, E

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Society for Industrial and Applied Mathematics
• Journal: SIAM Journal on Numerical Analysis
• Volume: 51
• Issue: 2
• Pages: 984-1015
• Publication date: 2013-03-21
• Acceptance date: 2012-12-26
• DOI: 10.1137/120873133
• EISSN: 1095-7170
• ISSN: 0036-1429
• Language: English
• Keywords: finite element methods; implicit constitutive models; power-law fluids; weak compactness; convergence; discrete Lipschitz truncation