A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations |
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| Authors: | V Girault R Glowinski H López J-P Vila |
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| Institution: | (1) Laboratoire d'Analyse Numérique, Tour 55-65, 5ème étage, Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris Cedex 05, France , FR;(2) Department of Mathematics, University of Houston, Houston, TX 77204–3476, USA , US;(3) Escuela de Computación, Facultad de Ciencias, Universidad Central de Venezuela, Apdo. Postal 47002, Caracas, Venezuela , VE;(4) MIP, UMRS CNRS 9640 , INSA, Domaine de Rangueil, 31077 Toulouse cedex, France , FR |
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| Abstract: | Summary. We analyze the error of a fictitious-domain method with boundary Lagrange multiplier. It is applied to solve a non-homogeneous
steady incompressible Navier-Stokes problem in a domain with a multiply-connected boundary. The interior mesh in the fictitious
domain and the boundary mesh are independent, up to a mesh-length ratio.
Received February 24, 1999 / Revised version received January 30, 2000 / Published online October 16, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 65D30 65N15 65N30 |
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