Geodesic
A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids
Matematičeskoe modelirovanie, Tome 27 (2015) no. 9, pp. 17-32

Voir la notice de l'article provenant de la source Math-Net.Ru

For the solution of systems of linear algebraic equations obtained as a result of discretization of initial-boundary value problems for the heat equation with discontinuous heat conduction coefficient, a new mutigrid method is proposed. In the method, a special construction of the next level grid is used, with special treatment of sub-regions near the discontinuity lines of the heat conduction coefficient. Numerical experiments with 2D model problem discretized on orthogonal grids demonstrated a high speed of convergence for the method and weak dependence of the convergence on the discontinuity jump of the coefficient.
Mots-clés : parabolic equations
Keywords: multigrid methods, speed of convergence of an iterative method. 
@article{MM_2015_27_9_a1,
     author = {O. Yu. Milyukova and V. F. Tishkin},
     title = {A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--32},
     publisher = {mathdoc},
     volume = {27},
     number = {9},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_9_a1/}
}
TY  - JOUR
AU  - O. Yu. Milyukova
AU  - V. F. Tishkin
TI  - A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids
JO  - Matematičeskoe modelirovanie
PY  - 2015
SP  - 17
EP  - 32
VL  - 27
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2015_27_9_a1/
LA  - ru
ID  - MM_2015_27_9_a1
ER  - 
%0 Journal Article
%A O. Yu. Milyukova
%A V. F. Tishkin
%T A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids
%J Matematičeskoe modelirovanie
%D 2015
%P 17-32
%V 27
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2015_27_9_a1/
%G ru
%F MM_2015_27_9_a1
O. Yu. Milyukova; V. F. Tishkin. A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids. Matematičeskoe modelirovanie, Tome 27 (2015) no. 9, pp. 17-32. http://geodesic.mathdoc.fr/item/MM_2015_27_9_a1/