## A defect-correction mixed finite element method for stationary conduction-convection problems.(English)Zbl 1204.76021

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.

### MSC:

 76M10 Finite element methods applied to problems in fluid mechanics
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