We propose a mixed finite element method for Stokes flow with one degree of freedom per element and facet of simplicial grids. The method is derived by considering the vorticity-velocity-pressure formulation and eliminating the vorticity locally through the use of a quadrature rule. The discrete solution is pointwise divergence-free and the method is pressure robust. The theoretically derived convergence rates are confirmed by numerical experiments.
翻译:我们建议对斯托克斯流动采用一种混合的限定要素方法,每个元素和简易电网的方方面面都有一定程度的自由,该方法通过考虑单体-速度-压力配方和通过使用二次曲线规则在当地消除异质性来得出。离散的解决方案是没有差异的,该方法具有很强的压力。理论上的趋同率通过数字实验得到确认。