局部质量守恒的二次速度线性压力元
A locally mass conserving quadratic velocity, linear pressure element
摘要：
通过补充Taylor-Hood单元的压力空间，产生满足每个单元上的连续性的三角形元。作出一个新的扩展的补丁参数证明稳定性，该元素被证明是全局稳定的，并给出最佳的收敛速度在广泛的三角形网格。这个理论结果在附录中的讨论中得到了扩展，说明了如何在所有网格上获得最佳的收敛速度。给出了两个例子，一个说明了收敛速度，另一个说明了泰勒-胡德元素的困难，克服了这里提出的元素。
英文摘要：
By supplementing the pressure space for the Taylor-Hood element a triangular element that satisfies continuity over each element is produced. Making a novel extension of the patch argument to prove stability, this element is shown to be globally stable and give optimal rates of convergence on a wide range of triangular grids. This theoretical result is extended in the discussion given in the appendix, showing how optimal convergence rates can be obtained on all grids. Two examples are presented, one illustrating the convergence rates and the other illustrating difficulties with the Taylor-Hood element which are overcome by the element presented here.
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