A Defect-Correction Mixed Finite Element Method for Stationary Conduction-Convection Problems

الملخص EN

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 L2 and H1-norm of u, T and the L2-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.