论文标题

多发性涡度混合有限元方法,用于不可压缩的Stokes流量

A multipoint vorticity mixed finite element method for incompressible Stokes flow

论文作者

Boon, Wietse M., Fumagalli, Alessio

论文摘要

我们提出了一种混合有限元方法,用于stokes流动,每个元素的自由度和简单网格方面的自由度。该方法是通过考虑涡度 - 速度压力公式的,并通过使用正交规则在局部消除涡度。离散溶液无分量无差,该方法是压力鲁棒的。理论得出的收敛速率通过数值实验证实。

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.

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