期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷 56, 期 12, 页码 2301-2320出版社
JOHN WILEY & SONS LTD
DOI: 10.1002/fld.1623
关键词
nonlinear; convection-diffusion equation; finite-volume element method; maximum principle; upwind method
For a class of nonlinear convection-diffusion equation in multiple space dimensions, a kind of upwind finite-volume element (UFVE) scheme is put forward. Some techniques, such as calculus of variations, commutating operators and prior estimates, are adopted. It is proved that the UFVE scheme is unconditionally stable and satisfies maximum principle. Optimal-order estimates in H-1-norm are derived to determine the error in the approximate solution. Numerical results are presented to observe the performance of the scheme. Copyright (c) 2007 John Wiley & Sons, Ltd.
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