Two-Level Stabilized, Nonconforming Finite-Element Algorithms for the Stationary Conduction-Convection Equations

Abstract

The two-level lowest equal-order nonconforming stabilized finite-element method for the stationary conduction-convection equations based on the local Gauss integration is considered in this article. The method includes three different corrections: Stokes correction, Oseen correction, and Newton correction. Moreover, the stability and convergence of the proposed method are deduced. Numerical results are shown to support the developed theory analysis and demonstrate the good effectiveness of the given method.

Acknowledgments

The authors would like to thank the editor and referees for their valuable comments and suggestions, which helped us to improve the results of this article.

Notes

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