Efficient quadrature rules for subdivision surfaces in isogeometric analysis

Efficient Quadrature for High Degree Isogeometric Analysis

s in alphabetical order

Efficient quadrature for NURBS-based isogeometric analysis

We initiate the study of efficient quadrature rules for NURBS-based isogeometric analysis. A rule of thumb emerges, the “half-point rule”, indicating that optimal rules involve a number of points roughly equal to half the number of degrees-of-freedom, or equivalently half the number of basis functions of the space under consideration. The half-point rule is independent of the polynomial order o...

Dispersion-minimizing quadrature rules for C quadratic isogeometric analysis

Dispersion-minimizing quadrature rules for C quadratic isogeometric analysis Quanling Deng, Michael Bartoň, Vladimir Puzyrev, Victor Calo aDepartment of Applied Geology, Curtin University, Kent Street, Bentley, Perth, WA 6102, Australia bBasque Center for Applied Mathematics, Alameda de Mazarredo 14, 48009 Bilbao, Basque Country, Spain cMineral Resources, CSIRO, Kensington, Perth, WA 6152, Aust...

On Isogeometric Subdivision Methods for PDEs on Surfaces

Subdivision surfaces are proven to be a powerful tool in geometric modeling and computer graphics, due to the great flexibility they offer in capturing irregular topologies. This paper discusses the robust and efficient implementation of an isogeometric discretization approach to partial differential equations on surfaces using subdivision methodology. Elliptic equations with the Laplace-Beltra...

Quadrature Rules for Fuzzy Integrals