3 papers
math.NA2024
Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers
Maryam Mohammadi, Alvise Sommariva, Marco Vianello
We make a further step in the unisolvence open problem for unsymmetric Kansa collocation, proving nonsingularity of Kansa matrices with polyharmonic splines and random fictitious c…
math.NA2022
TetraFreeQ: tetrahedra-free quadrature on polyhedral elements
Alvise Sommariva, Marco Vianello
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…
math.NA2022
InRS: implementing the indicator function of NURBS-shaped planar domains
Alvise Sommarivaa, Marco Vianello
We provide an algorithm that implements the indicator function of NURBS-shaped planar domains, tailored to the fast computation on huge point clouds, together with the correspondin…