메뉴 건너뛰기




Volumn 44, Issue 11-12, 2007, Pages 3840-3860

A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)

Author keywords

Meshfree; Meshless; Nodal integration; Radial point interpolation; Stress analysis

Indexed keywords

AUTOMOBILE PARTS AND EQUIPMENT; FINITE ELEMENT METHOD; GALERKIN METHODS; POLYNOMIALS; RADIAL BASIS FUNCTION NETWORKS; STRESS ANALYSIS;

EID: 33947721748     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.10.025     Document Type: Article
Times cited : (108)

References (27)
  • 1
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri S.N., and Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 22 (1998) 117-127
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 6
    • 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., and Bowman H. Some recent results and proposals for the use of radial basis functions in the BEM. Engineering Analysis with Boundary Elements 23 (1999) 285-296
    • (1999) Engineering Analysis with Boundary Elements , vol.23 , pp. 285-296
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 7
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988)
    • Hardy R.L. Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988). Computers & Mathematics with Applications 19 (1990) 163-208
    • (1990) Computers & Mathematics with Applications , vol.19 , pp. 163-208
    • Hardy, R.L.1
  • 8
    • 0018430665 scopus 로고
    • The finite difference methods at arbitrary irregular grids and its applications in applied mechanics
    • Liszka T., and Orkisz J. The finite difference methods at arbitrary irregular grids and its applications in applied mechanics. Computers & Structures 11 (1980) 83-95
    • (1980) Computers & Structures , vol.11 , pp. 83-95
    • Liszka, T.1    Orkisz, J.2
  • 11
    • 3042847440 scopus 로고    scopus 로고
    • A meshfree method: meshfree weak-strong (MWS) form method, fro 2-D solids
    • Liu G.R., and Gu Y.T. A meshfree method: meshfree weak-strong (MWS) form method, fro 2-D solids. Computational Mechanics 33 1 (2003) 2-14
    • (2003) Computational Mechanics , vol.33 , Issue.1 , pp. 2-14
    • Liu, G.R.1    Gu, Y.T.2
  • 13
    • 33947721630 scopus 로고    scopus 로고
    • Liu, G.R., Li, Y., Dai, K.Y., Luan, M.T., Xue, W., 2006. A linearly conforming RPIM for 2D solid mechanics. International Journal of Computational Methods (in press).
  • 15
    • 9744222922 scopus 로고    scopus 로고
    • Meshfree weak-strong (MWS) from method and its application to incompressible flow problems
    • Liu G.R., Wu Y.L., and Ding H. Meshfree weak-strong (MWS) from method and its application to incompressible flow problems. International Journal for Numerical Methods in Fluids 46 (2004) 1025-1047
    • (2004) International Journal for Numerical Methods in Fluids , vol.46 , pp. 1025-1047
    • Liu, G.R.1    Wu, Y.L.2    Ding, H.3
  • 17
    • 25444503476 scopus 로고    scopus 로고
    • A meshfree radial point interpolation method (RPIM) for three-dimensional solids
    • Liu G.R., Zhang G.Y., Gu Y.T., and Wang Y.Y. A meshfree radial point interpolation method (RPIM) for three-dimensional solids. Computational Mechanics 36 6 (2005) 421-430
    • (2005) Computational Mechanics , vol.36 , Issue.6 , pp. 421-430
    • Liu, G.R.1    Zhang, G.Y.2    Gu, Y.T.3    Wang, Y.Y.4
  • 20
    • 0001765873 scopus 로고
    • A numerical approach to testing the fission hypothesis
    • Lucy L. A numerical approach to testing the fission hypothesis. The Astronomical Journal 82 (1977) 1013-1024
    • (1977) The Astronomical Journal , vol.82 , pp. 1013-1024
    • Lucy, L.1
  • 22
    • 33947715290 scopus 로고    scopus 로고
    • Powell, M.J.D., 1992. The theory of radial basis function approximation in 1990. In: Light, F.W. (Ed.), Advances in Numerical Analysis, pp. 303-322.
  • 23
    • 33947729033 scopus 로고    scopus 로고
    • Schaback, R., 1994. Approximation of polynomials by radial basis functions. In: Laurent, P.J., Mehaute, Le., Schumaker, L.L. (Eds.), Wavelets, images and surface fitting, Wellesley, MA, pp. 459-466.
  • 26
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2-D meshless methods
    • Wang J.G., and Liu G.R. On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Computer Methods in Applied Mechanics and Engineering 191 (2002) 2611-2630
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 2611-2630
    • Wang, J.G.1    Liu, G.R.2
  • 27
    • 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. Journal of Approximation Theory 93 (1998) 258-396
    • (1998) Journal of Approximation Theory , vol.93 , pp. 258-396
    • Wendland, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.