A Mixed Finite Element Method for the Navier-Stokes Equations
Claes Johnson (1978)
Publications mathématiques et informatique de Rennes
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Claes Johnson (1978)
Publications mathématiques et informatique de Rennes
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Jason S. Howell, Noel J. Walkington (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.
V. Girault, P.A. Raviart (1979)
Numerische Mathematik
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P. LeTallec (1980)
Numerische Mathematik
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Rainer Picard (2008)
Banach Center Publications
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The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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