A defect-correction mixed finite element method for stationary conduction-convection problems (Q624746)

Summary: A defect-correction mixed finite element method (MFEM) for solving the stationary conduction-convection problems in two-dimension is given. In this method, we solve the nonlinear equations with an added artificial viscosity term on a grid and correct this solution on the same grid using a linearized defect-correction technique. The stability is given and the error analysis in \(L^2\) and \(H^1\)-norm of \(u, T\) and the \(L^2\)-norm of \(p\) are derived. The theory analysis shows that our method is stable and has a good precision. Some numerical results are also given, which show that the defect-correction MFEM is highly efficient for the stationary conduction-convection problems.