Discrepancy between theory and real computation on the stability of some finite element schemes
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Finite element schemes based on the method of characteristics are considered for the convection–diffusion equation. Those are proved to be stable, but in a real computation some instability occurs. We reveal the cause of the discrepancy between theory and real computation, and present a remedy to the instability.
- Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics 199(2), 424-431, 2007-02-15