Geodesic
On approximate open boundary conditions for the wave equation and the Klein-Gordon equation
Numerical methods and programming, Tome 6 (2005) no. 1, pp. 290-303 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

When implementing numerical simulations of non-stationary processes in spatially unbounded domains, in a number of cases the original problem can be reduced to a problem in a fixed subdomain by imposing certain conditions on the so-called open boundary that separates the subdomain from the rest of the whole domain. Due to this, the demands for computational system resources the simulation requires decrease considerably. One of the promising methods for generating the conditions of this type is based on approximation of integral operator kernels in the exact equalities that associate the values of the original problem solution and its partial derivatives on the open boundary. Some problems related to the substantiation of such approximate conditions as well as to the optimal parameter choice for their realization need to be studied via analytical methods. The above questions are discussed in this paper for a model problem.
Keywords: wave equation, open boundary conditions, total transparency conditions, simulated boundary conditions.
Mots-clés : Klein-Gordon equation, radiation conditions 
@article{VMP_2005_6_1_a28,
     author = {A. R. Maikov},
     title = {On approximate open boundary conditions for the wave equation and the {Klein-Gordon} equation},
     journal = {Numerical methods and programming},
     pages = {290--303},
     year = {2005},
     volume = {6},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a28/}
}
TY  - JOUR
AU  - A. R. Maikov
TI  - On approximate open boundary conditions for the wave equation and the Klein-Gordon equation
JO  - Numerical methods and programming
PY  - 2005
SP  - 290
EP  - 303
VL  - 6
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a28/
LA  - ru
ID  - VMP_2005_6_1_a28
ER  - 
%0 Journal Article
%A A. R. Maikov
%T On approximate open boundary conditions for the wave equation and the Klein-Gordon equation
%J Numerical methods and programming
%D 2005
%P 290-303
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a28/
%G ru
%F VMP_2005_6_1_a28
A. R. Maikov. On approximate open boundary conditions for the wave equation and the Klein-Gordon equation. Numerical methods and programming, Tome 6 (2005) no. 1, pp. 290-303. http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a28/