The Fat Boundary Method: Semi-discrete scheme and some numerical experiments

Lecture Notes in Computational Science and Engineering

Volumn 40, Issue , 2005, Pages 513-520

  Bertoluzza, Silvia ^a   Ismail, Mourad ^b   Maury, Bertrand ^c  

^a CNR   (Italy)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^c UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS;

BOUNDARY METHOD; CONNECTED COMPONENT; DISCRETE SCHEME; FICTITIOUS DOMAINS; FINITE-ELEMENT DISCRETIZATION; INITIAL PROBLEM; NARROW STRIPS; NUMERICAL EXPERIMENTS;

DOMAIN DECOMPOSITION METHODS;

EID: 41849106819     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-26825-1_53     Document Type: Article

References (6)

1. Y. Achdou and J.-L. Guermond. Convergence analysis of a finite element Projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations. SIAM J. Numer. Anal., 37(3):799-826, 2000.
2. S. Bertoluzza, M. Ismail, and B. Maury. Analysis of the discrete fat boundary method. in preparation.
3. M. Ismail. Simulation Numérique d'écoulements fluide-particules par la méthode de la frontière élargie. PhD thesis (in preparation), to appear in french, Université Pierre et Marie Curie, Paris, France, 2003.
4. B. Maury. A Fat Boundary Method for the Poisson problem in a domain with holes. J. of Sci. Comput., 16(3):319-339, 2001.
5. J. A. Nitsche and A. H. Schatz. Interior estimates for Ritz-Galerkin methods. Math. Comp., 28:937-958, 1974.
6. O. Pironneau. On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Numer. Math., 38:309-332, 1982.