Two-level stabilized nonconforming finite element algorithms for the conduction–convection equations

ABSTRACT

In this article, we consider the two-level stabilized nonconforming finite element methods for the stationary conduction–convection equations based on local Gauss integration. The proposed methods are applied to solve conduction–convection equations with a special relationship of coarse mesh and fine mesh h = H/3 to avoid the coarse-to-fine intergrid operator. The methods involves three different corrections: Stokes correction, Oseen correction, and Newton correction. Moreover, the stability and convergence of the proposed methods are deduced. Finally, numerical results are shown to validate the theory analysis and demonstrate the effectiveness of the given methods.

Additional information

Funding

This work is supported by XJU-SRT (No. 201610755155).