Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems

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.