78 citations · 721 across the 73 of their papers we have counts for
4 papers · 2 filters
Optimal quadrature rules for isogeometric analysis
Michael Barton, Victor Calo
We introduce optimal quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. Using the homotopy continuation c…
Multiscale stabilization for convection-dominated diffusion in heterogeneous media
Victor M. Calo, Eric T. Chung, Yalchin Efendiev +1
We develop a Petrov-Galerkin stabilization method for multiscale convection-diffusion transport systems. Existing stabilization techniques add a limited number of degrees of freedo…
Gaussian quadrature for splines via homotopy continuation: rules for cubic splines
Michael Bartoň, Victor Manuel Calo
We introduce a new concept for generating optimal quadrature rules for splines. Given a target spline space where we aim to generate an optimal quadrature rule, we build an associa…
Gaussian quadrature rules for quintic splines
Michael Bartoň, Rachid Ait-Haddou, Victor Manuel Calo
We provide explicit expressions for quadrature rules on the space of quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are der…