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Dispersion-minimizing quadrature rules for $C^1$ quadratic isogeometric analysis
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 are optimal in the sense that they only ...
Gaussian quadrature rules for $C^1$ quintic splines with uniform knot vectors
We provide explicit quadrature rules for spaces of $C^1$ quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers. ...