Discrepancy between theory and real computation on the stability of some finite element schemes

Journal of Computational and Applied Mathematics

Volumn 199, Issue 2, 2007, Pages 424-431

  Tabata, Masahisa ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Characteristic finite element method; Convection diffusion equation; Numerical integration error; Stability

Indexed keywords

CHARACTERISTIC FINITE ELEMENT METHOD; CONVECTION DIFFUSION EQUATION; DISCREPANCY; NUMERICAL INTEGRATION ERROR;

COMPUTATION THEORY; DIFFERENTIAL EQUATIONS; DIFFUSION; ERROR ANALYSIS; INTEGRATION; NUMERICAL METHODS; STABILITY;

FINITE ELEMENT METHOD;

EID: 33749663545     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.08.042     Document Type: Article

References (3)

1. Pironneau O. Finite Element Methods for Fluids (1989), Wiley, New York
2. Rui H., and Tabata M. A second order characteristic finite element scheme for convection-diffusion problems. Numer. Math. 92 (2002) 161-177
3. M. Tabata, S. Fujima, Robustness of a characteristic finite element scheme of second order in time increment, Proceedings of the Third International Conference on Computational Fluid Dynamics, in press.