Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis
作者： T. Takacs , B. Jüttler
DOI: 10.1016/J.CMA.2011.08.023
关键词: Elliptic partial differential equation 、 Generalization 、 Basis function 、 Stiffness matrix 、 Mathematics 、 Hexahedron 、 Domain (mathematical analysis) 、 Tensor product 、 Mathematical analysis 、 Isogeometric analysis
摘要: Isogeometric analysis is a numerical simulation method which uses the NURBS based representation of CAD models. NURBS stands for non-uniform rational B-splines and is a …
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J.A. Cottrell, T.J.R. Hughes, A. Reali, Studies of refinement and continuity in isogeometric structural analysis Computer Methods in Applied Mechanics and Engineering. ,vol. 196, pp. 4160- 4183 ,(2007) , 10.1016/J.CMA.2007.04.007
Michael R. Dörfel, Bert Jüttler, Bernd Simeon, Adaptive isogeometric analysis by local h-refinement with T-splines Computer Methods in Applied Mechanics and Engineering. ,vol. 199, pp. 264- 275 ,(2010) , 10.1016/J.CMA.2008.07.012
J.A. Cottrell, A. Reali, Y. Bazilevs, T.J.R. Hughes, Isogeometric analysis of structural vibrations Computer Methods in Applied Mechanics and Engineering. ,vol. 195, pp. 5257- 5296 ,(2006) , 10.1016/J.CMA.2005.09.027
T.J.R. Hughes, A. Reali, G. Sangalli, Efficient quadrature for NURBS-based isogeometric analysis Computer Methods in Applied Mechanics and Engineering. ,vol. 199, pp. 301- 313 ,(2010) , 10.1016/J.CMA.2008.12.004
Hector Gomez, Thomas J.R. Hughes, Xesús Nogueira, Victor M. Calo, Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations Computer Methods in Applied Mechanics and Engineering. ,vol. 199, pp. 1828- 1840 ,(2010) , 10.1016/J.CMA.2010.02.010
Xiaoping Qian, Full analytical sensitivities in NURBS based isogeometric shape optimization Computer Methods in Applied Mechanics and Engineering. ,vol. 199, pp. 2059- 2071 ,(2010) , 10.1016/J.CMA.2010.03.005
Edwin R. Hancock, Malcolm A. Sabin, Ralph R. Martin, Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII conference on mathematics of surfaces. ,(2005)
M. Aigner, C. Heinrich, B. Jüttler, E. Pilgerstorfer, B. Simeon, A. -V. Vuong, Swept Volume Parameterization for Isogeometric Analysis conference on mathematics of surfaces. ,vol. 5654, pp. 19- 44 ,(2009) , 10.1007/978-3-642-03596-8_2
L. Ridgway Scott, Susanne C Brenner, The Mathematical Theory of Finite Element Methods ,(2007)
Wayne Tiller, Les Piegl, The NURBS Book ,(1995)