We develop a method to compute -conforming finite element approximations in both two and three space dimensions using readily available finite element spaces. This is accomplished by deriving a novel, equivalent mixed variational formulation involving spaces with at most -smoothness, so that conforming discretizations require at most -continuity. The method is demonstrated on arbitrary order -splines.

中文翻译：

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二维和三维[公式省略]-符合无[公式省略]-元素的有限元近似


我们开发了一种使用现成的有限元空间在两个和三个空间维度上计算一致有限元近似的方法。这是通过推导一种新颖的、等效的混合变分公式来实现的，该公式涉及具有至多光滑度的空间，因此一致的离散化至多需要 连续性。该方法在任意阶样条上进行了演示。