A defect-correction method for unsteady conduction convection problems I: spatial discretization

作者：Si ZhiYong; He YinNian^*; Wang Kun

来源：Science China Mathematics, 2011, 54(1): 185-204.

DOI：10.1007/s11425-010-4022-7

• unsteady conduction-convection problems
• mixed finite element method
• defect-correction
• stability analysis
• error estimates

In this paper, a semi-discrete defect-correction mixed finite element method (MFEM) for solving the non-stationary conduction-convection problems in two dimension is presented. In this method, we solve the nonlinear equations with an added artificial viscosity term on a finite element grid and correct this solutions on the same grid using a linearized defect-correction technique. The stability and the error analysis are derived. The theory analysis shows that our method is stable and has a good convergence property.

• 出版日期2011-1
• 单位西安交通大学