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Contenido

   INDICE: MATHEMATICAL FOUNDATION OF THE STOKES PROBLEM. Generalities on some elliptic boundary value problems. Function spaces for the stokes problem. A decomposition of vector fields. Analysis of an abstract variational problem. The stokes equations. NUMERICAL SOLUTION OF THE STOKES PROBLEM IN THE PRIMITIVE VARIABLES. General approximation. Simplicial finite element methods using discontinuous pressures. Quadrilayteral finite element methods using discontinuous pressures. Continuous approximation of the pressure. IMCOMPRESSIBLE MIXED FINITE ELEMENT METHODS FOR SOLVING THE STOKES PROBLEM. Mixed approximation of an abstract problem. The "stream function-vorticity-pressure" method for the stokes problem in two dimensions. Further topics on the "stream function-vorticity-pressure" scheme. A "stream function-gradient of velocity tensor" method in two dimensiones. A "vector potential-vorticity" scheme in three dimensions. THEORY AND APPROXIMATION OF THE NAVIER-STOKES PROBLEM. A class of nonlinear problems. Approximation of branches of nonsingular solutions. Numerical analysis of centered finite element schemes. Numerical analysis of upwind schemes. Numerical algorithms

Detalles del artículo

• Páginas : 384
• Editorial : Springer
• Idioma : Desconocido
• Fecha de Publicación : 01/01/1986
• ISBN: 9783540157960
• Encuadernación : Tela
• Nº Volúmenes : 1
• País de Publicación : Alemania
• Lugar de Publicación : Berlin