The two-grid stabilization of equal-order finite elements for the stokes equations
This work presents a two-grid stabilized method of equal-order finite elements for the Stokes problems. This method only offsets the discrete pressure space by the residual of pressure on two grids to circumvent the discrete BabuskaBrezzi condition. The method can be done locally in a two-grid approach without stabilization parameter by projecting the pressure onto a finite element space based on coarse mesh. Also, it leads to a linear system with minimal additional cost in implement. Optimal error estimates are obtained. Finally, some numerical simulations are presented to show stability and accuracy properties of the method. Copyright (C) 2010 John Wiley & Sons, Ltd.
equal-order finite element the stokes equations two-grid stabilized method pressure projection the inf-sup condition