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Volumn 139, Issue 1-4, 1996, Pages 49-74

Nodal integration of the element-free Galerkin method

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; HYDRODYNAMICS; INTEGRAL EQUATIONS; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; POLYNOMIALS; STABILIZATION;

EID: 0030421494     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01079-1     Document Type: Article
Times cited : (513)

References (19)
  • 1
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot and P. Villon, Generalizing the finite element method: Diffuse approximation and diffuse elements, Comput. Mech. 10 (1992) 307-318.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 4
    • 0000066368 scopus 로고
    • Representation and approximation of surfaces
    • Academic Press, New York
    • R.E. Barnhill, Representation and approximation of surfaces, Mathematical Software III (Academic Press, New York, 1977) 69-120.
    • (1977) Mathematical Software , vol.3 , pp. 69-120
    • Barnhill, R.E.1
  • 5
    • 84966235290 scopus 로고
    • Shepard's method of 'metric interpolation' to bivariate and multivariate data
    • W.J. Gordon and J.A. Wixom, Shepard's method of 'metric interpolation' to bivariate and multivariate data, Math. Comput. 32 (1978) 253-264.
    • (1978) Math. Comput. , vol.32 , pp. 253-264
    • Gordon, W.J.1    Wixom, J.A.2
  • 6
    • 0016126720 scopus 로고
    • Drawing contours from arbitrary data points
    • D.H. McLain, Drawing contours from arbitrary data points, Comput. J. 17 (1974) 318-324.
    • (1974) Comput. J. , vol.17 , pp. 318-324
    • McLain, D.H.1
  • 7
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster and K. Salkaushkas, Surfaces generated by moving least squares methods, Math. Comput. 37 (1981) 141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkaushkas, K.2
  • 8
    • 0014432211 scopus 로고
    • A two-dimensional interpolation function for irregularly spaced points
    • D. Shepard, A two-dimensional interpolation function for irregularly spaced points, Proceedings 1968 A.C.M. National Conference, 1968 pp. 517-524.
    • (1968) Proceedings 1968 A.C.M. National Conference , pp. 517-524
    • Shepard, D.1
  • 9
    • 0037479998 scopus 로고
    • A gridless Euler/Navier-Stokes solution algorithm for complex aircraft applications
    • AIAA 93-0333, Reno, NV
    • J.T. Batina, A gridless Euler/Navier-Stokes solution algorithm for complex aircraft applications, AIAA 93-0333, 31st Aerospace Sciences Meeting and Exhibit, Reno, NV, 1993.
    • (1993) 31st Aerospace Sciences Meeting and Exhibit
    • Batina, J.T.1
  • 10
    • 0022673737 scopus 로고
    • Efficient implementation of quadrilaterals with high coarse mesh accuracy
    • T. Belytschko and W.E. Bachrach, Efficient implementation of quadrilaterals with high coarse mesh accuracy, Comput. Methods Appl. Mech. Engrg. 54 (1986) 279-301.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.54 , pp. 279-301
    • Belytschko, T.1    Bachrach, W.E.2
  • 11
    • 0018430665 scopus 로고
    • The finite difference method at arbitrary irregular grids and its application in applied mechanics
    • T. Liszka and J. Orkisz, The finite difference method at arbitrary irregular grids and its application in applied mechanics, Comput. Struct. 11 (1980) 83-95.
    • (1980) Comput. Struct. , vol.11 , pp. 83-95
    • Liszka, T.1    Orkisz, J.2
  • 12
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • L.B. Lucy, A numerical approach to the testing of the fission hypothesis, Astron. J. 82(12) (1977) 1013-1024.
    • (1977) Astron. J. , vol.82 , Issue.12 , pp. 1013-1024
    • Lucy, L.B.1
  • 13
    • 85183430449 scopus 로고
    • Smooth particle hydrodynamics: Theory and application to non-spherical stars
    • R.A. Gingold and J.J. Monaghan, Smooth particle hydrodynamics: Theory and application to non-spherical stars, Monthly Notices Royal Astr. Soc. 181 (1972).
    • (1972) Monthly Notices Royal Astr. Soc. , vol.181
    • Gingold, R.A.1    Monaghan, J.J.2
  • 14
    • 33645123735 scopus 로고
    • Kernel estimates as a basis for general particle methods in hydrodynamics
    • R.A. Gingold and J.J. Monaghan, Kernel estimates as a basis for general particle methods in hydrodynamics, J. Comput. Phys. 46 (1982).
    • (1982) J. Comput. Phys. , vol.46
    • Gingold, R.A.1    Monaghan, J.J.2
  • 15
    • 0004533424 scopus 로고
    • Fracture and crack growth by element free Galerkin methods
    • T. Belytschko, L. Gu and Y.Y. Lu, Fracture and crack growth by element free Galerkin methods, Model. Simul. Mater. Sci. Engrg. 115 (1994) 277-286.
    • (1994) Model. Simul. Mater. Sci. Engrg. , vol.115 , pp. 277-286
    • Belytschko, T.1    Gu, L.2    Lu, Y.Y.3
  • 17
    • 0023827332 scopus 로고
    • Localization limiters in transient problems
    • D. Lasry and T. Belytschko, Localization limiters in transient problems, Int. J. Solids Struct. 24 (1988) 581-597.
    • (1988) Int. J. Solids Struct. , vol.24 , pp. 581-597
    • Lasry, D.1    Belytschko, T.2
  • 18
    • 0019566120 scopus 로고
    • A uniform strain hexahedron and quadrilateral and hourglass control
    • D.P. Flanagan and T. Belytschko, A uniform strain hexahedron and quadrilateral and hourglass control, Int. J. Numer. Methods Engrg. 17 (1981) 679-706.
    • (1981) Int. J. Numer. Methods Engrg. , vol.17 , pp. 679-706
    • Flanagan, D.P.1    Belytschko, T.2
  • 19
    • 0026191397 scopus 로고
    • Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems
    • T. Belytschko and L.P. Bindeman, Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems, Comput. Methods Appl. Mech. Engrg. 88 (1991) 311-340.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.88 , pp. 311-340
    • Belytschko, T.1    Bindeman, L.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.