Engineering Mechanics

Proceedings Vol. 18 (2012)

ENGINEERING MECHANICS 2012

18th INTERNATIONAL CONFERENCE
May 14 – 17, 2012, Svratka, Czech Republic

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Editors: Jiří Náprstek and Cyril Fischer

ISBN 978-80-86246-39-0 (printed, Extended Abstracts)
ISBN 978-80-86246-40-6 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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Study of computational efficiency of numerical quadrature schemes in the isogeometric analysis

D. Rypl, B. Patzák
pages 1135 - 1143, full text

Isogeometric analysis has been recently introduced as a viable alternative to the standard, polynomial-based ﬁnite element analysis. One of the fundamental performance issues of the isogeometric analysis is the quadrature of individual components of the discretized governing differential equation which may become computationally prohibitive because the evaluation of the high degree basis functions and/or their derivatives at individual integration points is quite demanding. The aim of this paper is to compare computational efﬁciency of several numerical quadrature concepts which are nowadays available in the isogeometric analysis. 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.

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All papers were reviewed by members of the scientific committee.

Engineering Mechanics

International Conference

Proceedings Vol. 18 (2012)

ENGINEERING MECHANICS 2012