Geodesic
Multigrid for finite-element discretizations of the equations of aerodynamics
Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 115-131

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

A multigrid algorithm for the solution of finite element stabilized discretization of compressible fluid dynamics equations on unstructured grids is described. Solution of the stationary problems is seached by time-stepping and a linearization of the non-linear discrete systems leads to a very large system of linear equations. These systems are ill-conditioned and require efficient computational procedures. The numerical experiments for Navier–Stokes and Euler systems are presented. The method can be easily included in a parallel library as preconditioner.
Keywords: multigrid, preconditioner, finite-element method, unstructured grids. 
@article{MM_2011_23_1_a9,
     author = {V. T. Zhukov and O. B. Feodoritova},
     title = {Multigrid for finite-element discretizations of the equations of aerodynamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {115--131},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_1_a9/}
}
TY  - JOUR
AU  - V. T. Zhukov
AU  - O. B. Feodoritova
TI  - Multigrid for finite-element discretizations of the equations of aerodynamics
JO  - Matematičeskoe modelirovanie
PY  - 2011
SP  - 115
EP  - 131
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2011_23_1_a9/
LA  - ru
ID  - MM_2011_23_1_a9
ER  - 
%0 Journal Article
%A V. T. Zhukov
%A O. B. Feodoritova
%T Multigrid for finite-element discretizations of the equations of aerodynamics
%J Matematičeskoe modelirovanie
%D 2011
%P 115-131
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2011_23_1_a9/
%G ru
%F MM_2011_23_1_a9
V. T. Zhukov; O. B. Feodoritova. Multigrid for finite-element discretizations of the equations of aerodynamics. Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 115-131. http://geodesic.mathdoc.fr/item/MM_2011_23_1_a9/