An Uzawa iterative method for the natural convection problem based on mixed finite element method

In this paper, an Uzawa iterative method combined with a mixed finite element method is presented for solving the natural convection model, where a decoupling discrete system is solved and no saddle point system is required to solve at each iterative step. Moreover, the authors establish convergence result of the method and find an interval of relaxation parameter that is crucial for the convergence of the presented method.