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Volumn 23, Issue 11, 2013, Pages 1979-2003

Analysis-suitable T-Splines of arbitrary degree: Definition, linear independence and approximation properties

Author keywords

analysis suitable; approximation estimates; dual basis; dual compatible; Greville sites; Isogeometric analysis; linear independence; partition of unity; T splines

Indexed keywords

ANALYSIS-SUITABLE; APPROXIMATION ESTIMATES; DUAL BASIS; DUAL-COMPATIBLE; GREVILLE SITES; ISOGEOMETRIC ANALYSIS; LINEAR INDEPENDENCE; PARTITION OF UNITY; T-SPLINES;

EID: 84880923926     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202513500231     Document Type: Article
Times cited : (111)

References (28)
  • 6
    • 79955936082 scopus 로고    scopus 로고
    • Some estimates for h-p-krefinement in isogeometric analysis
    • L. Beir̃ao da Veiga, A. Buffa, J. Rivas and G. Sangalli, Some estimates for h-p-krefinement in isogeometric analysis, Numer. Math. 118 (2011) 271-305.
    • (2011) Numer. Math. , vol.118 , pp. 271-305
    • Beir̃ao Da Veiga, L.1    Buffa, A.2    Rivas, J.3    Sangalli, G.4
  • 9
    • 77951259215 scopus 로고    scopus 로고
    • Linear independence of the T-spline blending functions associated with some particular T-meshes
    • A. Buffa, D. Cho and G. Sangalli, Linear independence of the T-spline blending functions associated with some particular T-meshes, Comput. Methods Appl. Mech. Engrg. 199 (2010) 1437-1445.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 1437-1445
    • Buffa, A.1    Cho, D.2    Sangalli, G.3
  • 10
    • 79952724802 scopus 로고    scopus 로고
    • Isogeometric analysis: Stable elements for the 2D Stokes equation
    • A. Buffa, C. de Falco and G. Sangalli, Isogeometric analysis: Stable elements for the 2D Stokes equation, Int. J. Numer. Methods Fluids 65 (2011) 1407-1422.
    • (2011) Int. J. Numer. Methods Fluids , vol.65 , pp. 1407-1422
    • Buffa, A.1    De Falco, C.2    Sangalli, G.3
  • 11
    • 79957521156 scopus 로고    scopus 로고
    • Isogeometric discrete differential forms in three dimensions
    • A. Buffa, J. Rivas, G. Sangalli and R. V?azquez, Isogeometric discrete differential forms in three dimensions, SIAM J. Numer. Anal. 49 (2011) 818-844.
    • (2011) SIAM J. Numer. Anal. , vol.49 , pp. 818-844
    • Buffa, A.1    Rivas, J.2    Sangalli, G.3    Vazquez, R.4
  • 13
    • 34547629767 scopus 로고    scopus 로고
    • Studies of refinement and continuity in isogeometric structural analysis
    • DOI 10.1016/j.cma.2007.04.007, PII S0045782507001703
    • J. A. Cottrell, T. J. R. Hughes and A. Reali, Studies of refinement and continuity in isogeometric structural analysis, Comput. Methods Appl. Mech. Engrg. 196 (2007) 4160-4183. (Pubitemid 47201738)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.41-44 , pp. 4160-4183
    • Cottrell, J.A.1    Hughes, T.J.R.2    Reali, A.3
  • 14
    • 24944585477 scopus 로고    scopus 로고
    • A practical guide to splines revised edn
    • Springer-Verlag
    • C. de Boor, A Practical Guide to Splines, revised edn., Vol. 27, Applied Mathematical Sciences (Springer-Verlag, 2001).
    • (2001) Applied Mathematical Sciences , vol.27
    • De Boor, C.1
  • 15
    • 72549110725 scopus 로고    scopus 로고
    • Adaptive isogeometric analysis by local h-refinement with T-splines
    • M. R. Dorfel, B. Juttler and B. Simeon, Adaptive isogeometric analysis by local h-refinement with T-splines, Comput. Methods Appl. Mech. Engrg. 199 (2010) 264-275.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 264-275
    • Dorfel, M.R.1    Juttler, B.2    Simeon, B.3
  • 16
    • 63249121158 scopus 로고    scopus 로고
    • N-width, sup-infs, and optimality ratios for the k-version of the isogeometic finite element method
    • J. A. Evans, Y. Bazilevs, I. Babu?ska and T. J. R. Hughes, n-width, sup-infs, and optimality ratios for the k-version of the isogeometic finite element method, Comput. Methods Appl. Mech. Engrg. 198 (2009) 1726-1741.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 1726-1741
    • Evans, J.A.1    Bazilevs, Y.2    Babuska, I.3    Hughes, T.J.R.4
  • 18
    • 21044443461 scopus 로고    scopus 로고
    • Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
    • DOI 10.1016/j.cma.2004.10.008, PII S0045782504005171
    • T. J. R. Hughes, J. A. Cottrell and Y. Bazilevs, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Comput. Methods Appl. Mech. Engrg. 194 (2005) 4135-4195. (Pubitemid 40875970)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.39-41 , pp. 4135-4195
    • Hughes, T.J.R.1    Cottrell, J.A.2    Bazilevs, Y.3
  • 27
    • 85027950335 scopus 로고    scopus 로고
    • Converting an unstructured quadrilateral mesh to a standard T-spline surface
    • W. Wang, Y. Zhang, M. A. Scott and T. J. R. Hughes, Converting an unstructured quadrilateral mesh to a standard T-spline surface, Comput. Mech. 48 (2011) 477-498.
    • (2011) Comput. Mech. , vol.48 , pp. 477-498
    • Wang, W.1    Zhang, Y.2    Scott, M.A.3    Hughes, T.J.R.4
  • 28
    • 84869861871 scopus 로고    scopus 로고
    • Solid T-spline construction from boundary representations for genus-zero geometry
    • Y. Zhang, W. Wang and T. J. R. Hughes, Solid T-spline construction from boundary representations for genus-zero geometry, Comput. Methods Appl. Mech. Engrg. 249-252 (2012) 185-187.
    • (2012) Comput. Methods Appl. Mech. Engrg. , vol.249-252 , pp. 185-187
    • Zhang, Y.1    Wang, W.2    Hughes, T.J.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.