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Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines
(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 ...
Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
(2016-07-01)
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 of even degrees. The optimal quadrature ...