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Volumn 21, Issue 3-4, 2004, Pages 421-444

C1 quintic splines on type-4 tetrahedral partitions

Author keywords

Tetrahedral partitions; Trivariate splines

Indexed keywords


EID: 3042838005     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:acom.0000032045.03775.8d     Document Type: Article
Times cited : (19)

References (18)
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    • Smooth macro-elements based on Clough-Tocher triangle splits
    • P. Alfeld and L.L. Schumaker, Smooth macro-elements based on Clough-Tocher triangle splits, Numer. Math. 90 (2002) 597-616.
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    • Alfeld, P.1    Schumaker, L.L.2
  • 4
    • 3042799808 scopus 로고    scopus 로고
    • Upper and lower bounds on the dimension of superspline spaces
    • P. Alfeld and L.L. Schumaker, Upper and lower bounds on the dimension of superspline spaces, Constr. Approx. 19 (2003) 145-161.
    • (2003) Constr. Approx. , vol.19 , pp. 145-161
    • Alfeld, P.1    Schumaker, L.L.2
  • 5
    • 3042758968 scopus 로고    scopus 로고
    • 1 quintic spline interpolation over tetrahedral partitions
    • eds. C.K. Chui, L.L. Schumaker and J. Stöckler (Vanderbilt Univ., Press, Nashville)
    • 1 quintic spline interpolation over tetrahedral partitions, in: Approximation Theory, Vol. X: Wavelets, Splines, and Applications, eds. C.K. Chui, L.L. Schumaker and J. Stöckler (Vanderbilt Univ. Press, Nashville, 2002) pp. 1-16.
    • (2002) Approximation Theory, Vol. X: Wavelets, Splines, and Applications , vol.10 , pp. 1-16
    • Awanou, G.1    Lai, M.-J.2
  • 9
    • 0001000302 scopus 로고    scopus 로고
    • On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
    • A. Kroó and S. Réveész, On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies, J. Approx. Theory 99 (1999) 134-152.
    • (1999) J. Approx. Theory , vol.99 , pp. 134-152
    • Kroó, A.1    Réveész, S.2
  • 11
    • 0000675744 scopus 로고    scopus 로고
    • On the approximation power of splines on triangulated quadrangulations
    • M.-J. Lai and L.L. Schumaker, On the approximation power of splines on triangulated quadrangulations, SIAM J. Numer. Anal. 36 (1999) 143-159.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 143-159
    • Lai, M.-J.1    Schumaker, L.L.2
  • 14
    • 0034273980 scopus 로고    scopus 로고
    • Developments in bivariate spline interpolation
    • G. Nürnberger and F. Zeilfelder, Developments in bivariate spline interpolation, J. Comput. Appl. Math. 121 (2000) 125-152.
    • (2000) J. Comput. Appl. Math. , vol.121 , pp. 125-152
    • Nürnberger, G.1    Zeilfelder, F.2
  • 15
    • 0036907479 scopus 로고    scopus 로고
    • Error bounds for minimal energy bivariate polynomial splines
    • M. von Golitschek, M.-J. Lai and L.L. Schumaker, Error bounds for minimal energy bivariate polynomial splines, Numer. Math. 93 (2002) 315-331.
    • (2002) Numer. Math. , vol.93 , pp. 315-331
    • Von Golitschek, M.1    Lai, M.-J.2    Schumaker, L.L.3
  • 16
    • 0006124344 scopus 로고
    • An n-dimensional Clough-Tocher interpolant
    • A.J. Worsey and G. Farin, An n-dimensional Clough-Tocher interpolant, Constr. Approx. 3 (1987) 99-110.
    • (1987) Constr. Approx. , vol.3 , pp. 99-110
    • Worsey, A.J.1    Farin, G.2
  • 18
    • 0000992159 scopus 로고
    • Interpolation polynomials on the triangle
    • A. Ženišek, Interpolation polynomials on the triangle, Numer. Math. 15 (1970) 283-296.
    • (1970) Numer. Math. , vol.15 , pp. 283-296
    • Ženišek, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.