000009300 001__ 9300
000009300 005__ 20141204092426.0
000009300 04107 $$aeng
000009300 046__ $$k12/05/2014
000009300 100__ $$aRypl, D.
000009300 24500 $$aStudy of computational efficiency of numerical quadrature schemes in the isogeometric analysis

000009300 24630 $$n18.$$pEngineering Mechanics 2012
000009300 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, Prague
000009300 506__ $$arestricted
000009300 520__ $$2eng$$aIsogeometric 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.

000009300 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000009300 653__ $$aisogeometric analysis, numerical quadrature, Gaussian quadrature, Bezier extraction, halfpoint rule

000009300 7112_ $$aEngineering Mechanics 2012$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2012
000009300 720__ $$aRypl, D.$$iPatzák, B.
000009300 8560_ $$ffischerc@itam.cas.cz
000009300 8564_ $$s246089$$uhttps://invenio.itam.cas.cz/record/9300/files/304_Rypl_D-FT.pdf$$yOriginal version of the author's contribution as presented on CD, paper (No. 304).
000009300 962__ $$r8924
000009300 980__ $$aPAPER