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Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems
L. A. Krukier, O. A. Pichugina, T. S. Martynova Southern Federal University
Abstract:
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.
Keywords:
convection-diffusion equation, variational methods, triangular and product triangular preconditioners, convergence.
Received: 21.07.2009
Citation:
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”, Matem. Mod., 22:10 (2010), 56–68; Math. Models Comput. Simul., 3:3 (2011), 346–356
Linking options:
https://www.mathnet.ru/eng/mm3028 https://www.mathnet.ru/eng/mm/v22/i10/p56
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