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Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines
Barton, M.
; Puzyrev, V.; Deng, Q.; Calo, V.M. (2019-12-14)
; Puzyrev, V.; Deng, Q.; Calo, V.M. (2019-12-14)
Calabr{\`o} et al. [10] 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 offers integration that may be orders of ...
Generalization of the Pythagorean Eigenvalue Error Theorem and its Application to Isogeometric Analysis
Barton, M.; Calo, V.M.; Deng, Q.; Puzyrev, V. (2018-10-13)
; Calo, V.M.; Deng, Q.; Puzyrev, V. (2018-10-13)
This chapter studies the effect of the quadrature on the isogeometric analysis of the wave propagation and structural vibration problems. The dispersion error of the isogeometric elements is minimized by optimally blending ...
Dispersion-minimizing quadrature rules for $C^1$ quadratic isogeometric analysis
Deng, Q.; Barton, M.; Puzyrev, V.; Calo, V.M. (2017-09-20)
; Puzyrev, V.; Calo, V.M. (2017-09-20)
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 ...