Linear independence of the T-spline blending functions associated with some particular T-meshes

Computer Methods in Applied Mechanics and Engineering

Volumn 199, Issue 23-24, 2010, Pages 1437-1445

  Buffa, A ^a   Cho, D ^a   Sangalli, G ^b  

^a CNR   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

Author keywords

Isogeometric analysis; Linear independence; T splines

Indexed keywords

BLENDING FUNCTION; LINEAR INDEPENDENCE; LOCAL REFINEMENT; T-SPLINES;

BLENDING;

SPLINES;

EID: 77951259215     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.12.004     Document Type: Article

References (20)

1. Auricchio F., Beirão da Veiga L., Buffa A., Lovadina C., Reali A., Sangalli G. A fully " locking-free" isogeometric approach for plane linear elasticity problems: a stream function formulation. Comput. Methods Appl. Mech. Engrg. 2007, 197(1-4):160-172.
2. Bazilevs Y., Beirão da Veiga L., Cottrell J.A., Hughes T.J.R., Sangalli G. Isogeometric analysis: approximation, stability and error estimates for h-refined meshes. Math. Models Methods Appl. Sci. 2006, 16(7):1031-1090.
3. Bazilevs Y., Calo V., Cottrell J., Evans J., Hughes T., Lipton S., Scott M., Sederberg T. Isogeometric analysis using T-splines. Comput. Methods Appl. Mech. Engrg. 2010, 199(5-8):229-263.
4. Bazilevs Y., Calo V., Zhang Y., Hughes T. Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Comput. Mech. 2006, 38:310-322.
5. Bazilevs Y., Calo V.M., Cottrell J.A., Hughes T.J.R., Reali A., Scovazzi G. Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Comput. Methods Appl. Mech. Engrg. 2007, 197(1-4):173-201.
6. Bazilevs Y., Calo V.M., Hughes T.J.R., Zhang Y. Isogeometric fluid-structure interaction: theory, algorithms, and computations. Comput. Mech. 2008, 43(1):3-37.
7. Bazilevs Y., Hughes T. Nurbs-based isogeometric analysis for the computation of flows about rotating components. Comput. Mech. 2008, 43:143-150.
8. L. Beirão da Veiga, A. Buffa, J. Rivas, G. Sangalli, Some estimates for h-p-k refinements in isogeometric analysis, Tech. Rep., IMATI-CNR, Pavia, 2009.
9. A. Buffa, G. Sangalli, R. Vázquez, Isogeometric analysis in electromagnetics: B-splines approximation, Tech. Rep., IMATI-CNR, Pavia, 2009.
10. Cottrell J., Hughes T., Reali A. Studies of refinement and continuity in isogemetric analysis. Comput. Methods Appl. Mech. Engrg. 2007, 196:4160-4183.
11. Cottrell J.A., Reali A., Bazilevs Y., Hughes T.J.R. Isogeometric analysis of structural vibrations. Comput. Methods Appl. Mech. Engrg. 2006, 195(41-43):5257-5296.
12. Dörfel M., Jüttler B., Simeon B. Adaptive isogeometric analysis by local h-refinement with T-splines. Comput. Methods Appl. Mech. Engrg. 2010, 199(5-8):264-275.
13. Elguedj T., Bazilevs Y., Calo V., Hughes T. B and F projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order nurbs elements. Comput. Methods Appl. Mech. Engrg. 2008, 197:2732-2762.
14. Evans J., Bazilevs Y., Babuška I., Hughes T. n-Width, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method. Comput. Methods Appl. Mech. Engrg. 2009, 198:1726-1741.
15. Gómez H., Calo V.M., Bazilevs Y., Hughes T.J.R. Isogeometric analysis of the Cahn-Hilliard phase-field model. Comput. Methods Appl. Mech. Engrg. 2008, 197(49-50):4333-4352.
16. Hughes T.J.R., Cottrell J.A., Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Engrg. 2005, 194(39-41):4135-4195.
17. Sederberg T., Cardon D., Finnigan G., North N., Zheng J., Lyche T. T-spline simplication and local refinement. ACM Trans. Graph. 2004, 23(3):276-283.
18. Sederberg T., Zheng J., Bakenov A., Nasri A. T-splines and T-NURCCSs. ACM Trans. Graph. 2003, 22(3):477-484.
19. Wall W.A., Frenzel M.A., Cyron C. Isogeometric structural shape optimization. Comput. Methods Appl. Mech. Engrg. 2008, 197(33-40):2976-2988.
20. Zhang Y., Bazilevs Y., Goswami S., Bajaj C.L., Hughes T.J.R. Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow. Comput. Methods Appl. Mech. Engrg. 2007, 196(29-30):2943-2959.