论文标题
TETRAFREEQ：多面体元素上的无四面体的正交
TetraFreeQ: tetrahedra-free quadrature on polyhedral elements
论文作者
论文摘要
在本文中，我们提供了一种无四面体算法，以在具有任意形状的多面体元件上具有给定程度的多项式精确性，正重量和内部节点，以计算具有给定程度的多项式精确性，正权重和内部节点的低心电图正交规则。关键工具是tchakaloff离散设置的概念，以及劳森·汉森（Lawson-Hanson）迭代的矩匹配方程的解决方案。提出了几个数值测试。该方法是在MATLAB中作为开源软件实现的。
In this paper we provide a tetrahedra-free algorithm to compute low-cardinality quadrature rules with a given degree of polynomial exactness, positive weights and interior nodes on a polyhedral element with arbitrary shape. The key tools are the notion of Tchakaloff discretization set and the solution of moment-matching equations by Lawson-Hanson iterations for NonNegative Least-Squares. Several numerical tests are presented. The method is implemented in Matlab as open-source software.
