Fast formation of isogeometric Galerkin matrices by weighted quadrature
نویسندگان
چکیده
منابع مشابه
Multipatch Discontinuous Galerkin Isogeometric Analysis
Isogeometric analysis (IgA) uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical applications, geometrical patches are used in order to get flexibility in the geometrical representation. This multi-patch representation corresponds to a decomposition of the computational domain into non-overlapping sub...
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A linear full elliptic second order Partial Differential Equation (PDE), defined on a d-dimensional domain Ω, is approximated by the isogeometric Galerkin method based on uniform tensor-product Bsplines of degrees (p1, . . . , pd). The considered approximation process leads to a d-level stiffness matrix, banded in a multilevel sense. This matrix is close to a d-level Toeplitz structure when the...
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2017
ISSN: 0045-7825
DOI: 10.1016/j.cma.2016.09.013