19 citations · 19 across the 1 of their papers we have counts for
5 papers
Characterizing envelopes of moving rotational cones and applications in CNC machining
Mikhail Skopenkov, Pengbo Bo, Michael Bartoň +1
Motivated by applications in CNC machining, we provide a characterization of surfaces which are enveloped by a one-parametric family of congruent rotational cones. As limit cases,…
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…
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…
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…
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…