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

Zhiyong Si and Yinnian He

Mathematical Problems in Engineering, 2011, vol. 2011, 1-28

Abstract:

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 ð ¿ 2 and ð » 1 -norm of ð ‘¢ , 𠑇 and the ð ¿ 2 -norm of ð ‘ 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:370192

DOI: 10.1155/2011/370192

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