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Volumn 24, Issue 7-8, 2000, Pages 539-547

Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING;

EID: 0343826595     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(00)00034-5     Document Type: Article
Times cited : (57)

References (21)
  • 1
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • Southampton/Berlin/New York: Computational Mechanics/Springer. (p. 312-326)
    • Nardini D., Brebbia C.A. A new approach to free vibration analysis using boundary elements. Boundary element methods in engineering. 1982;Computational Mechanics/Springer, Southampton/Berlin/New York. (p. 312-326).
    • (1982) Boundary Element Methods in Engineering
    • Nardini, D.1    Brebbia, C.A.2
  • 2
    • 0032025676 scopus 로고    scopus 로고
    • Some comments on the use of radial basis functions in the dual receiprocity method
    • Golberg M.A., Chen C.S., Bowman H., Power H. Some comments on the use of radial basis functions in the dual receiprocity method. Comput Mech. 21:1998;141-148.
    • (1998) Comput Mech , vol.21 , pp. 141-148
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3    Power, H.4
  • 3
    • 0033116371 scopus 로고    scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • Golberg M.A., Chen C.S., Bowman H. Some recent results and proposals for the use of radial basis functions in the BEM. Engng Anal Bound Elem. 23:1999;285-296.
    • (1999) Engng Anal Bound Elem , vol.23 , pp. 285-296
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 4
    • 0032687680 scopus 로고    scopus 로고
    • Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
    • Muleshkov A.S., Golberg M.A., Chen C.S. Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Comput Mech. 23:1999;411-419.
    • (1999) Comput Mech , vol.23 , pp. 411-419
    • Muleshkov, A.S.1    Golberg, M.A.2    Chen, C.S.3
  • 5
    • 0030181559 scopus 로고    scopus 로고
    • Improved multiquadric approximation for partial differential equations
    • Golberg M.A., Chen C.S., Karur S.R. Improved multiquadric approximation for partial differential equations. Engng Anal Bound Elem. 18:1996;9-17.
    • (1996) Engng Anal Bound Elem , vol.18 , pp. 9-17
    • Golberg, M.A.1    Chen, C.S.2    Karur, S.R.3
  • 6
    • 0033076244 scopus 로고    scopus 로고
    • Dual reciprocity method using compactly supported radial basis functions
    • Chen C.S., Brebbia C.A., Power H. Dual reciprocity method using compactly supported radial basis functions. Commun Numer Meth Engng. 15:1999;137-150.
    • (1999) Commun Numer Meth Engng , vol.15 , pp. 137-150
    • Chen, C.S.1    Brebbia, C.A.2    Power, H.3
  • 7
    • 21644489069 scopus 로고    scopus 로고
    • The method of fundamental solutions and compactly supported radial basis functions - A meshless approach to 3D problems
    • C.A. Brebbia, & H. Power. Boston/Southampton: WIT Press
    • Chen C.S., Marcozzi M., Choi S. The method of fundamental solutions and compactly supported radial basis functions - a meshless approach to 3D problems. Brebbia C.A., Power H. Boundary element methods XXI. 1999;561-570 WIT Press, Boston/Southampton.
    • (1999) Boundary Element Methods XXI , pp. 561-570
    • Chen, C.S.1    Marcozzi, M.2    Choi, S.3
  • 8
    • 0033101971 scopus 로고    scopus 로고
    • The annihilator method for computing particular solutions to partial differential equations
    • Golberg M.A., Chen C.S., Rashed Y.F. The annihilator method for computing particular solutions to partial differential equations. Engng Anal Bound Elem. 23:1999;275-279.
    • (1999) Engng Anal Bound Elem , vol.23 , pp. 275-279
    • Golberg, M.A.1    Chen, C.S.2    Rashed, Y.F.3
  • 9
    • 3643096756 scopus 로고
    • Time discretization of parabolic boundary integral equations
    • Lubich Ch., Schneider R. Time discretization of parabolic boundary integral equations. Numer Math. 63:1992;455-481.
    • (1992) Numer Math , vol.63 , pp. 455-481
    • Lubich, Ch.1    Schneider, R.2
  • 10
    • 0027969546 scopus 로고
    • Solving linear diffusion equations with the dual reciprocity method in Laplace space
    • Zhu S., Satravaha P., Lu X. Solving linear diffusion equations with the dual reciprocity method in Laplace space. Engng Anal Bound Elem. 13:1994;1-10.
    • (1994) Engng Anal Bound Elem , vol.13 , pp. 1-10
    • Zhu, S.1    Satravaha, P.2    Lu, X.3
  • 11
    • 0002642482 scopus 로고    scopus 로고
    • Rothe's method for the heat equation and boundary integral equations
    • Chapko R., Kress R. Rothe's method for the heat equation and boundary integral equations. J Int Eq Appl. 9:1997;47-68.
    • (1997) J Int Eq Appl , vol.9 , pp. 47-68
    • Chapko, R.1    Kress, R.2
  • 15
    • 0032021111 scopus 로고    scopus 로고
    • Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM
    • Chen C.S., Rashed Y.F. Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM. Mech Res Commun. 25:1998;195-201.
    • (1998) Mech Res Commun , vol.25 , pp. 195-201
    • Chen, C.S.1    Rashed, Y.F.2
  • 16
    • 51249166702 scopus 로고
    • Error estimates and condition numbers for radial basis function interpolation
    • Schaback R. Error estimates and condition numbers for radial basis function interpolation. Adv Comput Math. 3:1995;251-264.
    • (1995) Adv Comput Math , vol.3 , pp. 251-264
    • Schaback, R.1
  • 17
    • 0000136089 scopus 로고
    • Multivariate compactly supported postive definite radial basis functions
    • Wu Z. Multivariate compactly supported postive definite radial basis functions. Adv Comput Math. 4:1995;283-292.
    • (1995) Adv Comput Math , vol.4 , pp. 283-292
    • Wu, Z.1
  • 18
    • 0000764217 scopus 로고    scopus 로고
    • Error estimates for interpolation by compactly supported radial basis functions of minimal degree
    • Wendland H. Error estimates for interpolation by compactly supported radial basis functions of minimal degree. J Approx Theory. 93:1998;258-273.
    • (1998) J Approx Theory , vol.93 , pp. 258-273
    • Wendland, H.1
  • 19
  • 21
    • 0042450627 scopus 로고    scopus 로고
    • The method of fundamental solutions for time dependent problems
    • C.S. Chen, C.A. Brebbia, & D.W. Pepper. Boston/Southampton: WIT Press
    • Golberg M.A., Chen C.S., Muleshkov A. The method of fundamental solutions for time dependent problems. Chen C.S., Brebbia C.A., Pepper D.W. Boundary element technology XIII. 1999;377-386 WIT Press, Boston/Southampton.
    • (1999) Boundary Element Technology XIII , pp. 377-386
    • Golberg, M.A.1    Chen, C.S.2    Muleshkov, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.