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

An efficient algorithm for implementing the mathematical model of convection-diffusion transport with a dominant convection is proposed. Preconditioned Krylov subspace methods are used to solve strongly nonsymmetric systems of linear algebraic equations. Theoretical convergence analysis of product triangular skew-symmetric preconditioners is carried out. A series of numerical experiments have confirmed the technique’s efficiency.