A Defect-Correction Mixed Finite Element Method for Stationary Conduction-Convection Problems. (9th January 2011)

• Record Type: Journal Article
• Authors: Si, Zhiyong; He, Yinnian
• Other Names: Hedrih Katica R. (Stevanovic) Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2011(2011)
• Publication Date: 2011-01-09
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2011/370192
• Languages: English
• ISSNs: 1024-123X

Abstract

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 inL 2 andH 1 -norm ofu, T and theL 2 -norm ofp 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.