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  • The paper deals with the evaluation of computational efficiency of numerical integration schemes currently available in the isogeometric analysis. Altogether three schemes are considered - a standard scheme based on Gaussian quadrature, a scheme based on the Bezier extraction using Gaussian quadrature and exact B-spline quadrature scheme. Their performance is assessed on the assembly of stiffness matrix of B-spline based problems with special geometrical arrangement allowing to determine minimum number of integration points leading to exact results.
  • The paper deals with the evaluation of computational efficiency of numerical integration schemes currently available in the isogeometric analysis. Altogether three schemes are considered - a standard scheme based on Gaussian quadrature, a scheme based on the Bezier extraction using Gaussian quadrature and exact B-spline quadrature scheme. Their performance is assessed on the assembly of stiffness matrix of B-spline based problems with special geometrical arrangement allowing to determine minimum number of integration points leading to exact results. (en)
Title
  • Assessment of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis
  • Assessment of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis (en)
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  • Assessment of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis
  • Assessment of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis (en)
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  • RIV/68407700:21110/12:00199894!RIV13-GA0-21110___
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  • P(GA103/09/2009)
http://linked.open...iv/cisloPeriodika
  • 4
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  • 123825
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  • RIV/68407700:21110/12:00199894
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  • isogeometric analysis; numerical quadrature; Gaussian quadrature; Bezier extraction; half-point rule; exact B-spline quadrature rule (en)
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  • CZ - Česká republika
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  • [44AE75D6BF13]
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  • Engineering Mechanics
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  • 19
http://linked.open...iv/tvurceVysledku
  • Patzák, Bořek
  • Rypl, Daniel
issn
  • 1802-1484
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  • 21110
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