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The characteristic finite volume element method for the nonlinear convection-dominated diffusion problem

✍ Scribed by Fuzheng Gao; Yirang Yuan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
286 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

In modern numerical simulation of prospecting and exploiting oil-gas resources and environmental science, it is important to consider a numerical method for nonlinear convection-dominated diffusion problems. Based on actual conditions, such as the three-dimensional characteristics of large-scale science-engineering computation, we present a kind of characteristic finite volume element method. Some techniques, such as calculus of variations, commutating operators, the theory of prior estimates and techniques, are adopted. Suboptimal order error estimate in L 2 norm and optimal order error estimate in H 1 norm are derived to determine the errors for the approximate solution. Numerical results are presented to verify the performance of the scheme.

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