First vorticity–velocity–pressure numerical scheme for the Stokes problem-Reference-Cited by-同舟云学术

First vorticity–velocity–pressure numerical scheme for the Stokes problem

Published:2003-11 Issue:44-46 Volume:192 Page:4877-4907
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Dubois F.,Salaün M.,Salmon S.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference39 articles.

1. Une formulation mixte convergente pour le système de Stokes tridimensionnel;Amara;C. R. Acad. Sci. Paris Ser. I,1999

2. Vector potentials in three-dimensional nonsmooth domains;Amrouche;Math. Methods Appl. Sci.,1998

3. Sobolev Spaces;Adams,1975

4. Computational design for long-term numerical integration of the equations of fluid motion;Arakawa;J. Comput. Phys.,1966

5. T. Abboud, M. Salaün, S. Salmon, Coupling harmonic function-finite element for solving stream function-vorticity Stokes problem, Report IAT/CNAM 343/01, 2001, to appear in Numer. Methods Part. Different. Eq.

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