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

Zhiyong Si | Zendy; Yinnian He | Zendy

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

Author(s) -

Zhiyong Si,

Yinnian He

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/370192

Subject(s) - algorithm , computer science , artificial intelligence , machine learning

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

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