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TetraFreeQ: tetrahedra-free quadrature on polyhedral elements (2211.16620v1)
Published 29 Nov 2022 in math.NA and cs.NA
Abstract: 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.