In this paper we improve the cubature rules discussed in Sommariva and Vianello (2021) for
the computation of integrals by radial basis functions (RBFs). More precisely, we introduce in …

We compute low-cardinality algebraic cubature formulas on convex or concave polygonal
elements with a circular edge, by subdivision into circular quadrangles, blending formulas …

Cubature schemes, in this case for uniformly weighted integration over the unit disk, enable
exact evaluation of numerical integrals of polynomials but have been explicitly constructed …

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 …

We obtain analytical formulas for the computation of integrals (moments) of all the most
common Radial Basis Functions (usually shortened as RBFs) on polygonal regions that may …

We present an algorithm that computes a PI-type (Positive Interior) algebraic cubature rule of
degree n with at most (n+ 1)(n+ 2)= 2 nodes, over spline curvilinear polygons. The key …

Abstract The FETI-DP (Finite Element Tearing and Interconnecting-Dual Primal) method has
recently successfully been applied to virtual element discretizations, adding more flexibility …

Tchakaloff-like compression of QMC volume and surface integration on the union of balls |
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An improved version of Compressed Quasi-MonteCarlo cubature (CQMC) on large low-
discrepancy samples is implemented, on 2D and 3D regions with complex shape. The …

We discuss an algorithm for Tchakaloff-like compression of Quasi-MonteCarlo (QMC)
volume/surface integration on union of balls (multibubbles). The key tools are Davis …