A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties
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Publication:4960451
DOI10.1137/19M1263583zbMath1437.41004arXiv2001.07967OpenAlexW3001160791MaRDI QIDQ4960451
Hendrik Speleers, Thomas J. R. Hughes, Carla Manni, R. R. Hiemstra, Deepesh Toshniwal
Publication date: 16 April 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.07967
Numerical computation using splines (65D07) Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Algorithms for approximation of functions (65D15)
Related Items (9)
Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines ⋮ Tchebycheffian B-splines in isogeometric Galerkin methods ⋮ Matrix representations for multi-degree B-splines ⋮ Stable numerical evaluation of multi-degree B-splines ⋮ Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization ⋮ Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions ⋮ Isogeometric discrete differential forms: non-uniform degrees, Bézier extraction, polar splines and flows on surfaces ⋮ Isogeometric discretizations with generalized B-splines: symbol-based spectral analysis ⋮ A practical method for computing with piecewise Chebyshevian splines
Uses Software
Cites Work
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