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Volumn 148, Issue 3-4, 1997, Pages 257-277

Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MATHEMATICAL TECHNIQUES; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0031554859     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)00007-2     Document Type: Article
Times cited : (135)

References (36)
  • 2
    • 0018430665 scopus 로고
    • The finite difference method at arbitrary irregular grids and its applications in applied mechanics
    • T. Liszka and J. Orkisz, The finite difference method at arbitrary irregular grids and its applications in applied mechanics, Comput. Struct. 11 (1980) 83-95.
    • (1980) Comput. Struct. , vol.11 , pp. 83-95
    • Liszka, T.1    Orkisz, J.2
  • 4
    • 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
  • 5
    • 0025229330 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics: I. Surface approximations and partial derivative estimates
    • E.J. Kansa, Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics: I. Surface approximations and partial derivative estimates, Comput. Math. Applic. 19 (1990) 127-145.
    • (1990) Comput. Math. Applic. , vol.19 , pp. 127-145
    • Kansa, E.J.1
  • 6
    • 0025210711 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics: II. Solutions to parabolic, hyperbolic and elliptic partial differential equations
    • E.J. Kansa, Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics: II. Solutions to parabolic, hyperbolic and elliptic partial differential equations, Comput. Math. Applic. 19 (1990) 147-161.
    • (1990) Comput. Math. Applic. , vol.19 , pp. 147-161
    • Kansa, E.J.1
  • 8
    • 28144438571 scopus 로고
    • Wavelet and the numerical solution of partial differential equations
    • S. Qian and J. Weiss, Wavelet and the numerical solution of partial differential equations, J. Comput. Phys. 106 (1993) 155-175.
    • (1993) J. Comput. Phys. , vol.106 , pp. 155-175
    • Qian, S.1    Weiss, J.2
  • 11
    • 0003537977 scopus 로고
    • Technical Report BN-1185, Inst. for Phys. Sc. and Tech., University of Maryland, Maryland
    • I. Babuška and J.M. Melenk, The partition of unity finite element method, Technical Report BN-1185, Inst. for Phys. Sc. and Tech., University of Maryland, Maryland, 1995.
    • (1995) The Partition of Unity Finite Element Method
    • Babuška, I.1    Melenk, J.M.2
  • 13
    • 0030211580 scopus 로고    scopus 로고
    • Analysis of thin shells by the element-free Galerkin method
    • P. Krysl and T. Belytschko, Analysis of thin shells by the Element-Free Galerkin method, Int. J. Solids Struct. 33 (1996) 3057-3080.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 3057-3080
    • Krysl, P.1    Belytschko, T.2
  • 14
    • 0029484915 scopus 로고    scopus 로고
    • Analysis of thin plates by the element-free Galerkin method
    • P. Krysl and T. Belytschko, Analysis of thin plates by the Element-Free Galerkin method, Comput. Mech. 17 (1996) 26-35.
    • (1996) Comput. Mech. , vol.17 , pp. 26-35
    • Krysl, P.1    Belytschko, T.2
  • 17
    • 0029507340 scopus 로고
    • A coupled finite element-element-free galerkin method
    • T. Belytschko, D. Organ and Y. Krongauz, A coupled finite element-element-free Galerkin method, Comput. Mech. 17 (1995) 186-195.
    • (1995) Comput. Mech. , vol.17 , pp. 186-195
    • Belytschko, T.1    Organ, D.2    Krongauz, Y.3
  • 18
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite elements
    • Y. Krongauz and T. Belytschko, Enforcement of essential boundary conditions in meshless approximations using finite elements, Comput, Methods Appl. Mech. Engrg. 131 (1996) 133-145.
    • (1996) Comput, Methods Appl. Mech. Engrg. , vol.131 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 19
    • 0001149512 scopus 로고
    • The generalized patch test
    • F. Stummel, The generalized patch test. SIAM J. Numer. Anal. 3 (1979) 449-471.
    • (1979) SIAM J. Numer. Anal. , vol.3 , pp. 449-471
    • Stummel, F.1
  • 21
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster and K. Salkauskas, Surfaces generated by moving least squares methods, Math. Comput. 37 (1981) 141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 22
    • 0030192918 scopus 로고    scopus 로고
    • Continuous meshless approximations for nonconvex bodies by diffraction and transparency
    • D.J. Organ, M. Fleming, T. Terry and T. Belytschko, Continuous meshless approximations for nonconvex bodies by diffraction and transparency, Comput. Mech. 18 (1996) 225-235.
    • (1996) Comput. Mech. , vol.18 , pp. 225-235
    • Organ, D.J.1    Fleming, M.2    Terry, T.3    Belytschko, T.4
  • 23
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problem
    • P.G. Ciarlet and J.L. Lions, eds., Elsevier, North-Holland, Amsterdam
    • P.G. Ciarlet, Basic error estimates for elliptic problem, in: P.G. Ciarlet and J.L. Lions, eds., Handbook of Numerical Analysis, Vol. II, Finite Element Methods, Part 1 (Elsevier, North-Holland, Amsterdam, 1991).
    • (1991) Handbook of Numerical Analysis, Vol. II, Finite Element Methods, Part 1 , vol.2
    • Ciarlet, P.G.1
  • 25
    • 0031119696 scopus 로고    scopus 로고
    • Reproducing least square kernel Galerkin method, (i) methodology and convergence
    • W.K. Liu, S. Li and T. Belytschko, Reproducing least square kernel Galerkin method, (i) Methodology and convergence, Comput. Methods Appl. Mech. Engrg. 143 (1997) 113-154.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 28
    • 0002641542 scopus 로고
    • A finite element scheme for domains with corners
    • I. Babuška and M.B. Rosenzweig, A finite element scheme for domains with corners, Numer. Math. 20 (1972) 1-21.
    • (1972) Numer. Math. , vol.20 , pp. 1-21
    • Babuška, I.1    Rosenzweig, M.B.2
  • 29
    • 0000640678 scopus 로고
    • Direct and inverse error estimates for finite element with mesh refinements
    • I. Babuška, R.B. Kellog and J. Pitkäranta, Direct and inverse error estimates for finite element with mesh refinements, Numer. Math. 33 (1979) 447-471.
    • (1979) Numer. Math. , vol.33 , pp. 447-471
    • Babuška, I.1    Kellog, R.B.2    Pitkäranta, J.3
  • 30
    • 0000240803 scopus 로고
    • Error estimates for the combined h and p versions of the finite element method
    • I. Babuška and M.R. Dorr, Error estimates for the combined h and p versions of the finite element method, Numer. Math. 37 (1981) 257-277.
    • (1981) Numer. Math. , vol.37 , pp. 257-277
    • Babuška, I.1    Dorr, M.R.2
  • 31
    • 0021440959 scopus 로고
    • The post-processing approach in the finite element method - Part II. Calculation of stress intensity factors
    • I. Babuška and K. Miller, The post-processing approach in the finite element method - Part II. Calculation of stress intensity factors, Int. J. Numer. Methods Engrg. 20 (1984) 1111-1129.
    • (1984) Int. J. Numer. Methods Engrg. , vol.20 , pp. 1111-1129
    • Babuška, I.1    Miller, K.2
  • 32
    • 0026820418 scopus 로고
    • Coefficients of the singularities for elliptic boundary value problems on domains with conical points. III: Finite element methods on polygonal domains
    • M. Bourlard, M. Dauge, M.S. Lubuma and S. Nicaise, Coefficients of the singularities for elliptic boundary value problems on domains with conical points. III: Finite element methods on polygonal domains, SIAM J. Numer. Anal. 29 (1992) 136-155.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 136-155
    • Bourlard, M.1    Dauge, M.2    Lubuma, M.S.3    Nicaise, S.4
  • 33
    • 70350504045 scopus 로고
    • Local behavior in finite element methods
    • P.G. Ciarlet and J.L. Lions, eds., Elsevier, North-Holland, Amsterdam
    • L.B. Wahlbin, Local behavior in finite element methods, in: P.G. Ciarlet and J.L. Lions, eds., Handbook of Numerical Analysis, Vol. II, Finite Element Methods, Part 1, (Elsevier, North-Holland, Amsterdam, 1991) 353-522.
    • (1991) Handbook of Numerical Analysis, Vol. II, Finite Element Methods, Part 1 , vol.2 , pp. 353-522
    • Wahlbin, L.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.