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Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
Barton, M.
; Calo, V.M. (2016-07-01)
; Calo, V.M. (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 ...
Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis
Barton, M.; Calo, V.M. (2016-01-01)
; Calo, V.M. (2016-01-01)
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 concept (Barton and Calo, 2016) that ...