Artificial boundary conditions for diffusion equations: Numerical study

Journal of Computational and Applied Mathematics

Volumn 70, Issue 1, 1996, Pages 127-144

  Dubach, Eric ^a  

^a UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

Author keywords

Numerical scheme; Parabolic equations; Transparent boundary condition; Unbounded domains

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; DIFFUSION; EQUATIONS OF MOTION; INTERPOLATION; NUMERICAL METHODS;

ARTIFICIAL BOUNDARY CONDITIONS; CURVED BOUNDARIES; DIFFUSION EQUATIONS; DIRICHLET TO NEUMAN MAP; NUMERICAL SCHEME; PARABOLIC EQUATIONS; RATIONAL FRACTION; TRANSPARENT BOUNDARY CONDITION; UNBOUNDED DOMAINS;

BOUNDARY CONDITIONS;

EID: 0030165086     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00140-9     Document Type: Article

References (6)

1. E. Dubach, Conditions aux limites artificielles pour les équations de la chaleur et d'advection-diffusion sur une surface fermée - Étude numérique, Prépublication 91-05, University of Paris XIII (1991).
2. B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comput. 31 (1977) 629-651.
3. L. Halpern and J. Rauch, Absorbing boundary conditions for diffusion equation, Numer. Math. 71 (2) (1995) 185-224.
4. L. Halpern and L.N. Trefethen, Well-posedness of one-way wave equations and absorbing boundary conditions, Math. Comput. 47 (1986) 421-435.
5. L. Halpern and L.N. Trefethen, Wide-angle one-way wave equations, J. Acoust. Soc. Amer. 84 (1988) 1397-1404.
6. J.L. Lions and E. Magenes, Problèmes aux Limites non Homogènes et Applications, Vol. I (Dunod, Paris, 1968).