Geodesic
Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems
Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 56-68

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An effective algorithm for implementing the mathematical model of convective-diffusive transport with a dominant convection is proposed. Preconditioned Krylov subspace methods are used for the solution of a strongly nonsymmetric systems. A convergence analysis of product triangular preconditioners was made. Numerical experiments have confirmed the effectiveness of this technique.
Mots-clés : convection-diffusion equation, convergence.
Keywords: variational methods, triangular and product triangular preconditioners 
@article{MM_2010_22_10_a3,
     author = {L. A. Krukier and O. A. Pichugina and T. S. Martynova},
     title = {Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {56--68},
     publisher = {mathdoc},
     volume = {22},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_10_a3/}
}
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L. A. Krukier; O. A. Pichugina; T. S. Martynova. Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems. Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 56-68. http://geodesic.mathdoc.fr/item/MM_2010_22_10_a3/