메뉴 건너뛰기




Volumn 139, Issue 1-4, 1996, Pages 159-193

Moving least-square reproducing kernel method Part II: Fourier analysis

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; FOURIER TRANSFORMS;

EID: 0030413959     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01082-1     Document Type: Article
Times cited : (133)

References (31)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York, San Francisco
    • R.A. Adams, Sobolev Space (Academic Press, New York, San Francisco, 1975).
    • (1975) Sobolev Space
    • Adams, R.A.1
  • 3
    • 4243744527 scopus 로고
    • Technical report, Tech. Note 648, University of Maryland
    • I. Babuška, Approximation by hill functions, Technical report, Tech. Note 648, University of Maryland, 1970.
    • (1970) Approximation by Hill Functions
    • Babuška, I.1
  • 7
    • 0003833285 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania
    • I. Daubechies, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania, 1992.
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 9
    • 84968482693 scopus 로고
    • Controlled approximation and a characterization of the local approximation order
    • C. de Boor and R.O. Jia, Controlled approximation and a characterization of the local approximation order, Proceedings of the American Mathematical Society 95 (1985) 547-553.
    • (1985) Proceedings of the American Mathematical Society , vol.95 , pp. 547-553
    • De Boor, C.1    Jia, R.O.2
  • 11
  • 12
    • 0000190147 scopus 로고
    • On the approximation order from certain multivariate spline spaces
    • W. Dahmen and C.A. Micchelli, On the approximation order from certain multivariate spline spaces, J. Aust. Math. Soc., Series B 26 (1984) 233-246.
    • (1984) J. Aust. Math. Soc., Series B , vol.26 , pp. 233-246
    • Dahmen, W.1    Micchelli, C.A.2
  • 13
    • 0014563596 scopus 로고
    • A fourier analysis of the finite element method in Ritz-Galerkin theory
    • G. Fix and G. Strang, A fourier analysis of the finite element method in Ritz-Galerkin theory, Studies Appl. Math. 48 (1969) 265-273.
    • (1969) Studies Appl. Math. , vol.48 , pp. 265-273
    • Fix, G.1    Strang, G.2
  • 14
    • 0000859758 scopus 로고    scopus 로고
    • Convergence estimates for the wavelet Galerkin method
    • S.M. Gomes and E. Cortina, Convergence estimates for the wavelet Galerkin method, SIAM J. Numer. Anal. 33 (1996) 149-161.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 149-161
    • Gomes, S.M.1    Cortina, E.2
  • 15
    • 9344244474 scopus 로고    scopus 로고
    • A counterexample to a result concerning controlled approximation
    • R.Q. Jia, A counterexample to a result concerning controlled approximation, Proceedings of the American Mathematical Society 97 (1996) 647-654.
    • (1996) Proceedings of the American Mathematical Society , vol.97 , pp. 647-654
    • Jia, R.Q.1
  • 16
    • 0003106786 scopus 로고
    • Approximation by multiinteger translates of functions having global support
    • R.Q. Jia and J. Lei, Approximation by multiinteger translates of functions having global support, J. Approx. Theory 72 (1993) 2-23.
    • (1993) J. Approx. Theory , vol.72 , pp. 2-23
    • Jia, R.Q.1    Lei, J.2
  • 17
    • 0042436711 scopus 로고
    • A new version of the Strang-Fix conditions
    • R.Q. Jia and J. Lei, A new version of the Strang-Fix conditions, J. Approx. Theory 74 (1993) 221-225.
    • (1993) J. Approx. Theory , vol.74 , pp. 221-225
    • Jia, R.Q.1    Lei, J.2
  • 19
    • 84984525570 scopus 로고
    • Wavelet and multiple scale reproducing kernel method
    • W.K. Liu and Y. Chen, Wavelet and multiple scale reproducing kernel method, Int. J. Numer. Methods Fluids 21 (1995) 901-933.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 901-933
    • Liu, W.K.1    Chen, Y.2
  • 21
    • 0041434261 scopus 로고    scopus 로고
    • Moving least square reproducing kernel method, Part I: Methodology and convergence, 1995
    • in press
    • W-K Liu, S. Li and T. Belytschko, Moving least square reproducing kernel method, Part I: Methodology and convergence, 1995. Comput. Methods Appl. Mech. Engrg., in press.
    • Comput. Methods Appl. Mech. Engrg.
    • Liu, W.-K.1    Li, S.2    Belytschko, T.3
  • 22
    • 0004198869 scopus 로고
    • Cambridge University Press, The French edition was published in 1990 under the name Ondelettes et Operateurs
    • Y. Meyer, Wavelets and Operators (Cambridge University Press, 1992). The French edition was published in 1990 under the name Ondelettes et Operateurs.
    • (1992) Wavelets and Operators
    • Meyer, Y.1
  • 24
    • 0002308457 scopus 로고
    • Contributions to the problem of approximation of equidistant data by analytic functions
    • I.J. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions, Part A, Quart. Appl. Math. 4 (1946) 45-99.
    • (1946) Quart. Appl. Math. , vol.4 , Issue.PART A , pp. 45-99
    • Schoenberg, I.J.1
  • 25
    • 0002308457 scopus 로고
    • Contributions to the problem of approximation of equidistant data by analytic functions
    • I.J. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions, Part B, Quart. Appl. Math. 4 (1946) 112-141.
    • (1946) Quart. Appl. Math. , vol.4 , Issue.PART B , pp. 112-141
    • Schoenberg, I.J.1
  • 27
    • 0001947802 scopus 로고
    • The finite element method and approximation theory
    • B. Hubbard, ed., Academic Press, New York
    • G. Strang, The finite element method and approximation theory, in: B. Hubbard, ed., Numerical Solution of Partial Differential Equations (Academic Press, New York, 1971) 547-584.
    • (1971) Numerical Solution of Partial Differential Equations , pp. 547-584
    • Strang, G.1
  • 28
    • 0002245797 scopus 로고
    • Approximation in the finite element method
    • G. Strang, Approximation in the finite element method, Numer. Math 19 (1972) 81-98.
    • (1972) Numer. Math , vol.19 , pp. 81-98
    • Strang, G.1
  • 30
    • 0041935643 scopus 로고    scopus 로고
    • Private communication
    • G. Strang, Private communication, 1996.
    • (1996)
    • Strang, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.