We extend the development of collocation methods within the framework of Isogeometric Analysis (IGA) to multi-patch NURBS configurations, various boundary and patch interface conditions, and explicit dynamic analysis. The methods developed are higher-order accurate, stable with no hourglass modes, and efficient in that they require a minimum number of quadrature evaluations. The combination of these attributes has not been obtained previously within standard finite element analysis. © 2012 Elsevier B.V.
Auricchio, F., BEIRAO DA VEIGA, L., Hughes, T., Reali, A., Sangalli, G. (2012). Isogeometric collocation for elastostatics and explicit dynamics. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 249-252, 2-14 [10.1016/j.cma.2012.03.026].
Isogeometric collocation for elastostatics and explicit dynamics
BEIRAO DA VEIGA, LOURENCOSecondo
;
2012
Abstract
We extend the development of collocation methods within the framework of Isogeometric Analysis (IGA) to multi-patch NURBS configurations, various boundary and patch interface conditions, and explicit dynamic analysis. The methods developed are higher-order accurate, stable with no hourglass modes, and efficient in that they require a minimum number of quadrature evaluations. The combination of these attributes has not been obtained previously within standard finite element analysis. © 2012 Elsevier B.V.
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