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Finite Element Methods for Nonlinearly Viscous Fluids
Author(s) -
Belonosov M. S.,
Litvinov W. G.
Publication year - 1996
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19960760602
Subject(s) - uniqueness , inertia , finite element method , mechanics , viscous liquid , mathematics , flow (mathematics) , stokes flow , mixed finite element method , boundary (topology) , mathematical analysis , surface (topology) , classical mechanics , physics , geometry , thermodynamics
The problem of stationary flow of a nonlinearly viscous fluid is studied under the “velocity‐pressure” mixed formulation, the surface forces are prescribed on one portion of the boundary and the velocities are given on the other portion. The problem is considered under Stokes approximation, i.e., the inertia forces are neglected. Existence and uniqueness are proved, and finite element approximation for velocity and pressure as well as iterative methods are studied.