78 citations · 721 across the 73 of their papers we have counts for
4 papers · 1 filter
Dispersion-optimized quadrature rules for isogeometric analysis: modified inner products, their dispersion properties, and optimally blended schemes
Vladimir Puzyrev, Quanling Deng, Victor Calo
This paper introduces optimally-blended quadrature rules for isogeometric analysis and analyzes the numerical dispersion of the resulting discretizations. To quantify the approxima…
On the Thermodynamics of the Swift-Hohenberg Theory
LFR Espath, AF Sarmiento, L Dalcin +1
We present the microbalance including the microforces, the first- and second-order microstresses for the Swift--Hohenberg equation concomitantly with their constitutive equations,…
PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces
A. F. Sarmiento, A. M. A. Cortes, D. A. Garcia +3
We describe the development of a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, PetIGA-MF i…
Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
Michael Bartoň, Victor Manuel Calo
We introduce Gaussian quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. By definition, these spaces are…