2025/02/05 by Alvise Sommariva, Sommariva, Alvise, Marco Vianello +1 · 2 citations
Engineering · #65D32 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Aerospace Engineering and Control Systems #FOS: Mathematics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2502.03446
openalex publication_date 2025/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss a cheap tetrahedra-free approach to the numerical integration of polynomials on polyhedral elements, based on hyperinterpolation in a bounding box and Chebyshev moment computation via the divergence theorem. No conditioning issues arise, since no matrix factorization or inversion is needed. The resulting quadrature formula is theoretically stable even in the presence of some negative weights.