Product Gauss cubature over polygons based on Green’s integration formula

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Segment-based vs. element-based integration for mortar methods in computational contact mechanics (2015, methodology): “First, the position and the weighting of each integration point could be calculated for each integration domain individually by using a moment-fitting related approach [26,27,52] or by employing methods based on the divergence theorem [42–44].”
Generalized Gaussian quadrature rules on arbitrary polygons (2010, methodology): “Lower degree quadrature rules over convex and concave polygons Sommariva and Vianello [25] have used Green’s integral formula to produce Gauss-like quadrature rules that can integrate high-order bivariate polynomials exactly.”
Extended virtual element method for the Laplace problem with singularities and discontinuities (2019, methodology): “The general procedure is a product Gauss cubature scheme for polygons proposed by Sommariva and Vianello in [30], also distributed as an open source MATLAB routine under the name polygauss.”