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Volumn 15, Issue 2, 1999, Pages 137-150

Dual reciprocity method using compactly supported radial basis functions

Author keywords

Boundary element method; Compactly supported basis functions; Dual reciprocity method; Particular solution; Positive definite function; Radial basis function; The method of fundamental solutions

Indexed keywords

FUNCTIONS; INTERPOLATION; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 0033076244     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199902)15:2<137::AID-CNM233>3.0.CO;2-9     Document Type: Article
Times cited : (115)

References (14)
  • 1
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • C. A. Brebbia (Ed.), Springer-Verlag, Berlin
    • D. Nardini and C. A. Brebbia, 'A new approach to free vibration analysis using boundary elements', in Boundary Element Methods in Engineering, C. A. Brebbia (Ed.), Springer-Verlag, Berlin, 1982.
    • (1982) Boundary Element Methods in Engineering
    • Nardini, D.1    Brebbia, C.A.2
  • 2
    • 0001987050 scopus 로고
    • The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations
    • M. A. Golberg and C. S. Chen, The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations', Bound. Elem. Commun., 5, 57-61 (1994).
    • (1994) Bound. Elem. Commun. , vol.5 , pp. 57-61
    • Golberg, M.A.1    Chen, C.S.2
  • 3
    • 0030181559 scopus 로고    scopus 로고
    • Improved multiquadric approximation for partial differential equations
    • M. A. Golberg, C. S. Chen and S. Karur, 'Improved multiquadric approximation for partial differential equations', Eng. Anal. Bound. Elem., 18, 9-17 (1996).
    • (1996) Eng. Anal. Bound. Elem. , vol.18 , pp. 9-17
    • Golberg, M.A.1    Chen, C.S.2    Karur, S.3
  • 4
    • 0002596552 scopus 로고
    • Creating surfaces from scattered data using radial basis functions
    • M. Daehlen, T. Lyche and L. Schumaker (Eds.), Vanderbilt University Press, Nashville
    • R. Schaback, 'Creating surfaces from scattered data using radial basis functions', in Mathematical Methods for Curves and Surfaces, M. Daehlen, T. Lyche and L. Schumaker (Eds.), Vanderbilt University Press, Nashville, 1995, pp. 477-496.
    • (1995) Mathematical Methods for Curves and Surfaces , pp. 477-496
    • Schaback, R.1
  • 5
    • 85034143992 scopus 로고    scopus 로고
    • On the efficiency of interpolation by radial basis functions
    • A. Le Méhauté, C. Rabut and L. L. Schumaker (Eds.)
    • R. Schaback, 'On the efficiency of interpolation by radial basis functions', in Proceedings of Chamonix, A. Le Méhauté, C. Rabut and L. L. Schumaker (Eds.), 1996, pp. 1-10
    • (1996) Proceedings of Chamonix , pp. 1-10
    • Schaback, R.1
  • 6
    • 0000136089 scopus 로고
    • Multivariate compactly supported positive definite radial functions
    • Z. Wu, 'Multivariate compactly supported positive definite radial functions', Adv. Comput. Math., 4, 283-292 (1995).
    • (1995) Adv. Comput. Math. , vol.4 , pp. 283-292
    • Wu, Z.1
  • 8
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
    • H. Wendland, 'Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree', Adv. Comput. Math., 4, 389-396 (1995).
    • (1995) Adv. Comput. Math. , vol.4 , pp. 389-396
    • Wendland, H.1
  • 9
    • 0029388503 scopus 로고
    • The method of fundamental solutions for Poisson's equation
    • M. A. Golberg, 'The method of fundamental solutions for Poisson's equation', Eng. Anal. Bound. Elem., 16, 205-213 (1995).
    • (1995) Eng. Anal. Bound. Elem. , vol.16 , pp. 205-213
    • Golberg, M.A.1
  • 11
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • C. A. Micchelli, 'Interpolation of scattered data: distance matrices and conditionally positive definite functions', Constr. Approx., 2, 11-22 (1986).
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 12
    • 0001935440 scopus 로고    scopus 로고
    • Splines minimizing rotation invariant semi-norms in Sobolev spaces
    • Lect. Notes Math. 571, W. Schempp and K. Zeller (Eds.), Springer-Verlag, Berlin
    • J. Duchon, 'Splines minimizing rotation invariant semi-norms in Sobolev spaces', in Constructive Theory of Functions of Several Variables, Lect. Notes Math. 571, W. Schempp and K. Zeller (Eds.), Springer-Verlag, Berlin, pp. 85-110
    • Constructive Theory of Functions of Several Variables , pp. 85-110
    • Duchon, J.1
  • 13
    • 0030571096 scopus 로고    scopus 로고
    • Multistep scattered data interpolation using compactly supported radial basis functions
    • M. S. Floater and A. Iske, 'Multistep scattered data interpolation using compactly supported radial basis functions', J. Comput. Appl. Math., 73, 65-78 (1996).
    • (1996) J. Comput. Appl. Math. , vol.73 , pp. 65-78
    • Floater, M.S.1    Iske, A.2
  • 14
    • 0032025676 scopus 로고    scopus 로고
    • Some comments on the use of radial basis functions in the dual reciprocity method
    • M. A. Golberg, C. S. Chen, H. Bowman and H. Power, 'Some comments on the use of radial basis functions in the dual reciprocity method', Comput. Mech., 21, 141-148 (1998).
    • (1998) Comput. Mech. , vol.21 , pp. 141-148
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3    Power, H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.