Cubature, i.e. multivariate numerical integration, plays a core part in the finite-element method. For a given element geometry and interpolation, it is possible to choose different cubature rules, leading to concepts like full and reduced integration. These cubature rules are usually chosen from a rather small set of existing rules, which were not specifically derived for finite-element applications, and may therefore not be optimal.

中文翻译：

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查找通过补丁测试的有限元的最小容积规则


Cubature，即多元数值积分，在有限元方法中起着核心作用。对于给定的单元几何和插值，可以选择不同的 cubature 规则，从而产生完全积分和减少积分等概念。这些 cubature 规则通常是从相当小的现有规则集中选择的，这些规则不是专门为有限元应用程序派生的，因此可能不是最佳规则。