Low cardinality positive interior cubature on NURBS-shaped domains

DOI10.1007/s10543-023-00958-yOpenAlexW4360979720MaRDI QIDQ2699046

Marco Vianello, Alvise Sommariva

Publication date: 26 April 2023

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-023-00958-y

zbMATH Keywords

winding numbercrossing numbernonnegative least squaresNURBScurvilinear polygonsNEFEM (NURBS-enhanced FEM)Tchakaloff setsunderdetermined moment matching systemsVEM (Virtual element method)

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical quadrature and cubature formulas (65D32) Computer-aided design (modeling of curves and surfaces) (65D17)

Uses Software

• Matlab
• FastGaussQuadrature
• Algorithm 973
• TetraFreeQ
• CUB_RS
• NNLSlab
• inRS

Cites Work

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