297 citations · 415 across the 9 of their papers we have counts for
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Optimal spectral approximation of -order differential operators by mixed isogeometric analysis
Quanling Deng, Vladimir Puzyrev, Victor Calo
We approximate the spectra of a class of -order differential operators using isogeometric analysis in mixed formulations. This class includes a wide range of differential opera…
Isogeometric spectral approximation for elliptic differential operators
Quanling Deng, Vladimir Puzyrev, Victor Calo
We study the spectral approximation of a second-order elliptic differential eigenvalue problem that arises from structural vibration problems using isogeometric analysis. In this p…
Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines
Michael Bartoň, Vladimir Puzyrev, Quanling Deng +1
Calabro et al. (2017) changed the paradigm of the mass and stiffness computation from the traditional element-wise assembly to a row-wise concept, showing that the latter one offer…
Spectral approximation properties of isogeometric analysis with variable continuity
Vladimir Puzyrev, Quanling Deng, Victor Calo
We study the spectral approximation properties of isogeometric analysis with local continuity reduction of the basis. Such continuity reduction results in a reduction in the interc…
Dispersion-minimizing quadrature rules for quadratic isogeometric analysis
Quanling Deng, Michael Bartoň, Vladimir Puzyrev +1
We develop quadrature rules for the isogeometric analysis of wave propagation and structural vibrations that minimize the discrete dispersion error of the approximation. The rules…
Dispersion optimized quadratures for isogeometric analysis
Victor Calo, Quanling Deng, Vladimir Puzyrev
We develop and analyze quadrature blending schemes that minimize the dispersion error of isogeometric analysis up to polynomial order seven with maximum continuity in the span ($C^…
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…