메뉴 건너뛰기




Volumn 26, Issue 6, 2000, Pages 536-546

Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0034483501     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660000203     Document Type: Article
Times cited : (113)

References (30)
  • 1
    • 0033353654 scopus 로고    scopus 로고
    • Analysis of thin beams, using the meshless local Petrov-Galerkin (MLPG) method, with generalized moving least squares interpolation
    • Atluri SN, Cho JY, Kim HG (1999a) Analysis of thin beams, using the meshless local Petrov-Galerkin (MLPG) method, with generalized moving least squares interpolation. Comput. Mech. 24: 334-347
    • (1999) Comput. Mech. , vol.24 , pp. 334-347
    • Atluri, S.N.1    Cho, J.Y.2    Kim, H.G.3
  • 2
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods
    • Atluri SN, Kim HG, Cho JY (1999b) A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods. Comput. Mech. 24: 348-372
    • (1999) Comput. Mech. , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 3
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T (1998) A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22: 117-127
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 4
    • 0001081434 scopus 로고    scopus 로고
    • New concepts in meshless methods
    • Atluri SN, Zhu T (2000a) New concepts in meshless methods. Comput. Mech. 22: 117-127
    • (2000) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 5
    • 0033872785 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elsto-statics
    • Atluri SN, Zhu T (2000b) The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elsto-statics. Comput. Mech. 225: 169-179
    • (2000) Comput. Mech. , vol.225 , pp. 169-179
    • Atluri, S.N.1    Zhu, T.2
  • 7
    • 0029507340 scopus 로고
    • Coupled finite element-element-free Galerkin method
    • Belytschko T, Organ D (1995) Coupled finite element-element-free Galerkin method. Comput. Mech. 17: 186-195
    • (1995) Comput. Mech. , vol.17 , pp. 186-195
    • Belytschko, T.1    Organ, D.2
  • 9
    • 0018478567 scopus 로고
    • Combination of boundary and finite elements in elastostics
    • Brebbia CA, Georgiou P (1979) Combination of boundary and finite elements in elastostics. Appl. Math. Model. 3: 212-219
    • (1979) Appl. Math. Model. , vol.3 , pp. 212-219
    • Brebbia, C.A.1    Georgiou, P.2
  • 11
    • 0032624422 scopus 로고    scopus 로고
    • Numerical integration of the Galerkin weak form in meshfree methods
    • Dolbow J, Belytschko T (1999) Numerical integration of the Galerkin weak form in meshfree methods. Comput. Mech. 23: 219-230
    • (1999) Comput. Mech. , vol.23 , pp. 219-230
    • Dolbow, J.1    Belytschko, T.2
  • 12
    • 0006095643 scopus 로고    scopus 로고
    • A coupled element free Galerkin/boundary element method for stress analysis of two-dimension solid
    • in press
    • Gu YT, Liu GR (2000) A coupled Element Free Galerkin/Boundary Element method for stress analysis of two-dimension solid. Comput. Methods in Appl. Mech. Eng. (in press)
    • (2000) Comput. Methods in Appl. Mech. Eng.
    • Gu, Y.T.1    Liu, G.R.2
  • 13
    • 0030216871 scopus 로고    scopus 로고
    • Element-free Galerkin methods in combination with finite element approaches
    • Hegen D (1996) Element-free Galerkin methods in combination with finite element approaches. Comput. Methods Appl. Mech. Engrg. 135: 143-166
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.135 , pp. 143-166
    • Hegen, D.1
  • 14
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite element
    • Krongauz Y, Belytschko T (1996) Enforcement of essential boundary conditions in meshless approximations using finite element. Comput. Methods Appl. Mech. Engrg. 131: 133-145
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.131 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 16
    • 0000855055 scopus 로고    scopus 로고
    • A point assembly method for stress analysis for solid
    • Shim VPW (ed). Oxford
    • Liu GR (1999) A point assembly method for stress analysis for solid. In: Shim VPW (ed) Impact Response of Materials & Structures. Oxford, pp 475-480
    • (1999) Impact Response of Materials & Structures , pp. 475-480
    • Liu, G.R.1
  • 17
    • 0035112642 scopus 로고    scopus 로고
    • A point interpolation method for two-dimensional solid
    • in press
    • Liu GR, Gu YT (2001) A Point Interpolation Method for two-dimensional solid. Int. J. Numer. Methods Eng. 50: (in press)
    • (2001) Int. J. Numer. Methods Eng. , vol.50
    • Liu, G.R.1    Gu, Y.T.2
  • 18
    • 0034247445 scopus 로고    scopus 로고
    • Coupling element free Galerkin and hybrid boundary element methods using modified variational formulation
    • Liu GR, Gu YT (2000a) Coupling Element Free Galerkin and Hybrid Boundary Element methods using modified variational formulation. Comput. Mech. 26(2): 166-173
    • (2000) Comput. Mech. , vol.26 , Issue.2 , pp. 166-173
    • Liu, G.R.1    Gu, Y.T.2
  • 20
    • 0343861020 scopus 로고    scopus 로고
    • A local point interpolation method for stress analysis of two-dimensional solids
    • accepted
    • Liu GR, Gu YT (2000c) A Local Point Interpolation Method for stress analysis of two-dimensional solids. Int. J. Struct. Engrg. Mech. (accepted)
    • (2000) Int. J. Struct. Engrg. Mech.
    • Liu, G.R.1    Gu, Y.T.2
  • 21
    • 0000827652 scopus 로고    scopus 로고
    • A penalty method for enforce essential boundary conditions in element free Galerkin method
    • Singapore
    • Liu GR, Yang KY (1998) A penalty method for enforce essential boundary conditions in element free Galerkin method. The proceeding of the 3rd HPC Asia'98. Singapore, pp 715-721
    • (1998) The Proceeding of the 3rd HPC Asia'98 , pp. 715-721
    • Liu, G.R.1    Yang, K.Y.2
  • 24
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10: 307-318
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 25
    • 0020167602 scopus 로고
    • The coupling of the finite difference method and the boundary element method
    • Rangogni R, Reali M (1982) The coupling of the finite difference method and the boundary element method. Appl. Math. Model. 6: 233-236
    • (1982) Appl. Math. Model. , vol.6 , pp. 233-236
    • Rangogni, R.1    Reali, M.2
  • 29
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
    • Zhu T, Zhang JD, Atluri SN (1998) A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Comput. Mech. 21: 223-235
    • (1998) Comput. Mech. , vol.21 , pp. 223-235
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3
  • 30
    • 0032047472 scopus 로고    scopus 로고
    • A modified collocation & a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
    • Zhu T, Atluri SN (1998) A modified collocation & a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method. Comput. Mech. 21: 223-235
    • (1998) Comput. Mech. , vol.21 , pp. 223-235
    • Zhu, T.1    Atluri, S.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.