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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 C0 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 C0 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
  • Study of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis
  • Study of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis (en)
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  • Study of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis
  • Study of Computational Efficiency of Numerical Quadrature Schemes in the Isogeometric Analysis (en)
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  • RIV/68407700:21110/12:00199904!RIV13-TA0-21110___
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  • P(TA02011196)
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  • 172137
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  • RIV/68407700:21110/12:00199904
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  • isogeometric analysis; numerical quadrature; Gaussian quadrature; Bezier extraction; halfpoint rule (en)
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  • [C22AD1E95CE0]
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  • Svratka
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  • Prague
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  • Engineering Mechanics 2012
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  • Patzák, Bořek
  • Rypl, Daniel
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number of pages
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  • Ústav teoretické a aplikované mechaniky AV ČR
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  • 978-80-86246-40-6
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  • 21110
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