Abstract
The streamline-diffusion method of the lowest order nonconforming rectangular finite element is proposed for convection-diffusion problem. By making full use of the element’s special property, the same convergence order as the previous literature is obtained. In which, the jump terms on the boundary are added to bilinear form with simple user-chosen parameter δ K which has nothing to do with perturbation parameter ε appeared in the problem under considered, the subdivision mesh size h K and the inverse estimate coefficient μ in finite element space.
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Supported by the National Natural Science Foundation of China (No. 11271340).
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Shi, Dy., Cui, Hx. & Guan, Hb. Streamline-diffusion method of a lowest order nonconforming rectangular finite element for convection-diffusion problem. Acta Math. Appl. Sin. Engl. Ser. 31, 427–434 (2015). https://doi.org/10.1007/s10255-015-0476-2
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DOI: https://doi.org/10.1007/s10255-015-0476-2
Keywords
- convection-diffusion problem
- streamline-diffusion method
- error estimate
- nonconforming rectangular finite element