Isogeometric collocation methods with generalized B-splines

作者: Carla Manni , Alessandro Reali , Hendrik Speleers

DOI: 10.1016/J.CAMWA.2015.03.027

关键词:

摘要: We introduce isogeometric collocation methods based on generalized B-splines and we analyze their performance through numerical examples for univariate multivariate scalar- vector-valued problems. In particular, advection-diffusion linear elasticity model problems are addressed. The resulting method combines the favorable properties of geometrical analytical problem-oriented advantages B-splines.

参考文章(51)
C Manni, P Costantini, Geometric Construction of Generalized Cubic Splines RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. ,vol. 26, pp. 327- 338 ,(2006)
Alessandro Reali, Thomas J. R. Hughes, An Introduction to Isogeometric Collocation Methods Isogeometric Methods for Numerical Simulation. pp. 173- 204 ,(2015) , 10.1007/978-3-7091-1843-6_4
Yuri Bazilevs, J. Austin Cottrell, Thomas J. R. Hughes, Isogeometric Analysis: Toward Integration of CAD and FEA ,(2009)
Guozhao Wang, Mei’e Fang, Unified and extended form of three types of splines Journal of Computational and Applied Mathematics. ,vol. 216, pp. 498- 508 ,(2008) , 10.1016/J.CAM.2007.05.031
J.F. Caseiro, R.A.F. Valente, A. Reali, J. Kiendl, F. Auricchio, R.J. Alves de Sousa, Assumed Natural Strain NURBS-based solid-shell element for the analysis of large deformation elasto-plastic thin-shell structures Computer Methods in Applied Mechanics and Engineering. ,vol. 284, pp. 861- 880 ,(2015) , 10.1016/J.CMA.2014.10.037
Xin Li, M. A. Scott, Analysis-suitable T-splines: Characterization, refineability, and approximation Mathematical Models and Methods in Applied Sciences. ,vol. 24, pp. 1141- 1164 ,(2014) , 10.1142/S0218202513500796
Héctor Gómez, Victor M. Calo, Yuri Bazilevs, Thomas J.R. Hughes, Isogeometric analysis of the Cahn–Hilliard phase-field model Computer Methods in Applied Mechanics and Engineering. ,vol. 197, pp. 4333- 4352 ,(2007) , 10.1016/J.CMA.2008.05.003
Paolo Costantini, Tom Lyche, Carla Manni, On a class of weak Tchebycheff systems Numerische Mathematik. ,vol. 101, pp. 333- 354 ,(2005) , 10.1007/S00211-005-0613-6
J. Kiendl, F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali, Isogeometric collocation methods for the Reissner–Mindlin plate problem Computer Methods in Applied Mechanics and Engineering. ,vol. 284, pp. 489- 507 ,(2015) , 10.1016/J.CMA.2014.09.011
T.J.R. Hughes, J.A. Cottrell, Y. Bazilevs, Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement Computer Methods in Applied Mechanics and Engineering. ,vol. 194, pp. 4135- 4195 ,(2005) , 10.1016/J.CMA.2004.10.008