메뉴 건너뛰기




Volumn 62, Issue 2, 2010, Pages 205-222

A finite element enrichment technique by the meshless local petrov-galerkin method

Author keywords

Convergence analysis; Enrichment; Finite Element; Meshless Local Petrov Galerkin

Indexed keywords

BASIC IDEA; COMPLEX DOMAINS; CONVERGENCE ANALYSIS; ENGINEERING PRACTICES; ENRICHMENT; ENRICHMENT TECHNIQUES; FINITE ELEMENT; FINITE ELEMENTS; MESH REFINEMENT; MESH-LESS METHODS; MESHLESS LOCAL PETROV-GALERKIN; MESHLESS LOCAL PETROV-GALERKIN METHOD; MESHLESS LOCAL PETROV-GALERKIN METHODS; MLPG METHOD; NUMERICAL CONVERGENCE; REMESHING; SOLUTION ACCURACY; TEST PROBLEM;

EID: 77957580799     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (33)
  • 2
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri, S. N.; Zhu, T. (1998): A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics, vol.22, pp. 117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 3
    • 33749851268 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems
    • Atluri, S. N.; Liu, H. T.; Han, Z. D. (2006a): Meshless Local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. CMES: Computer Modeling in Engineering & Sciences, vol.14, no.3, pp. 141-152.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.14 , Issue.3 , pp. 141-152
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 4
    • 33749874042 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics
    • Atluri, S. N.; Liu, H. T.; Han, Z. D. (2006b): Meshless Local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. CMES: Computer Modeling in Engineering & Sciences, vol.15, no.1, pp. 1-16.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , Issue.1 , pp. 1-16
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 5
    • 77949812733 scopus 로고    scopus 로고
    • Numerical solution of non-steady flows, around surfaces in spatially and temporally arbitrary motion, by using the MLPG method
    • Avila, R.; Atluri, S. N. (2010): Numerical solution of non-steady flows, around surfaces in spatially and temporally arbitrary motion, by using the MLPG method. CMES: Computer Modeling in Engineering & Sciences, vol.54, no.1, pp. 15-64.
    • (2010) CMES: Computer Modeling in Engineering & Sciences , vol.54 , Issue.1 , pp. 15-64
    • Avila, R.1    Atluri, S.N.2
  • 7
    • 0029507340 scopus 로고
    • A coupled finite element- element-free Galerkin method
    • Belytschko, T.; Organ, D.; Krongauz, Y. (1995): A coupled finite element- element-free Galerkin method. Computational Mechanics, vol.17, pp. 186-195.
    • (1995) Computational Mechanics , vol.17 , pp. 186-195
    • Belytschko, T.1    Organ, D.2    Krongauz, Y.3
  • 9
    • 33744998980 scopus 로고    scopus 로고
    • Thermomechanical analysis of functionally graded composites under laser heating by the MLPG method
    • Ching, H. K.; Chen, J. K. (2006): Thermomechanical analysis of functionally graded composites under laser heating by the MLPG method. CMES: Computer Modeling in Engineering & Sciences, vol.13, no.3, pp. 199-217.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.13 , Issue.3 , pp. 199-217
    • Ching, H.K.1    Chen, J.K.2
  • 14
    • 33646838078 scopus 로고    scopus 로고
    • Applications of MLPG method in dynamic fracture problems
    • Gao, L.; Liu, K.; Liu, Y. (2006): Applications of MLPG method in dynamic fracture problems. CMES: Computer Modeling in Engineering & Sciences, vol.12, no.3, pp. 181-195. (Pubitemid 43774051)
    • (2006) CMES - Computer Modeling in Engineering and Sciences , vol.12 , Issue.3 , pp. 181-195
    • Gao, L.1    Liu, K.2    Liu, Y.3
  • 15
    • 29844443280 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations
    • Han, Z. D.; Rajendran, A. M.; Atluri, S. N. (2005): Meshless Local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. CMES: Computer Modeling in Engineering & Sciences, vol.10, no.1, pp. 1-12.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.10 , Issue.1 , pp. 1-12
    • Han, Z.D.1    Rajendran, A.M.2    Atluri, S.N.3
  • 16
    • 33749866016 scopus 로고    scopus 로고
    • The applications of Meshless Local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems
    • Han, Z. D.; Liu, H. T.; Rajendran, A. M.; Atluri, S. N. (2006): The applications of Meshless Local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems. CMES: Computer Modeling in Engineering & Sciences, vol.14, no.2, pp. 119-128.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.14 , Issue.2 , pp. 119-128
    • Han, Z.D.1    Liu, H.T.2    Rajendran, A.M.3    Atluri, S.N.4
  • 18
    • 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. Computer Methods in Applied Mechanics and Engineering, vol.135, pp. 143-166.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.135 , pp. 143-166
    • Hegen, D.1
  • 20
    • 36448966434 scopus 로고    scopus 로고
    • A Meshless Local Petrov-Galerkin method for magnetic diffusion in non-magnetic conductors
    • Johnson, J. N.; Owen, J. M. (2007): A Meshless Local Petrov-Galerkin method for magnetic diffusion in non-magnetic conductors. CMES: Computer Modeling in Engineering & Sciences, vol.22, no.3, pp. 165-188.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.22 , Issue.3 , pp. 165-188
    • Johnson, J.N.1    Owen, J.M.2
  • 22
    • 0031119696 scopus 로고    scopus 로고
    • Moving least square reproducing kernel particle methods. Part I: Methodology and convergence
    • Liu, W. K.; Li, S.; Belytschko, T. (1997): Moving least square reproducing kernel particle methods. Part I: Methodology and convergence. Computer Methods in Applied Mechanics and Engineering, vol.143, pp. 113-154.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 23
    • 0000520888 scopus 로고    scopus 로고
    • Enrichment of the finite element method with the reproducing kernel particle method
    • Liu, W. K.; Uras, R. A.; Chen, Y. (1997): Enrichment of the finite element method with the reproducing kernel particle. Journal of Applied Mechanics, vol.64, pp. 861-870. (Pubitemid 127754983)
    • (1997) Journal of Applied Mechanics, Transactions ASME , vol.64 , Issue.4 , pp. 861-870
    • Liu, W.K.1    Uras, R.A.2    Chen, Y.3
  • 24
    • 60949101695 scopus 로고    scopus 로고
    • A contact algorithm for frictional crack propagation with the extended finite element method
    • Liu, F.; Borja, R. I. (2008): A contact algorithm for frictional crack propagation with the extended finite element method. International Journal for Numerical Mehods in Engineering, vol.76, pp. 1489-1512.
    • (2008) International Journal for Numerical Mehods in Engineering , vol.76 , pp. 1489-1512
    • Liu, F.1    Borja, R.I.2
  • 25
    • 35348827306 scopus 로고    scopus 로고
    • A comparison of numerical integration rules for the meshless local Petrov-Galerkin method
    • Mazzia, A.; Ferronato, M.; Pini, G.; Gambolati, G. (2007): A comparison of numerical integration rules for the meshless local Petrov-Galerkin method. Numerical Algorithms, vol.45, pp. 61-74.
    • (2007) Numerical Algorithms , vol.45 , pp. 61-74
    • Mazzia, A.1    Ferronato, M.2    Pini, G.3    Gambolati, G.4
  • 26
    • 71649107095 scopus 로고    scopus 로고
    • Product Gauss quadrature rules vs. Cubature rules in the meshless local Petrov-Galerkin method
    • Mazzia, A.; Pini, G. (2010): Product Gauss quadrature rules vs. cubature rules in the meshless local Petrov-Galerkin method. Journal of Complexity, vol.26, pp. 82-101.
    • (2010) Journal of Complexity , vol.26 , pp. 82-101
    • Mazzia, A.1    Pini, G.2
  • 29
  • 31
    • 0037404310 scopus 로고    scopus 로고
    • Homogenization of magnetostrictive particle-filled elastomers using an interface-enriched reproducing kernel particle method
    • Wang, D.; Chen, J. S.; Sun, L. (2003): Homogenization of magnetostrictive particle-filled elastomers using an interface-enriched reproducing kernel particle method. Finite Elements in Analysis and Design, vol.39, pp. 765-782.
    • (2003) Finite Elements in Analysis and Design , vol.39 , pp. 765-782
    • Wang, D.1    Chen, J.S.2    Sun, L.3
  • 33
    • 36448963805 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin collocation method for two-dimensional heat conduction problems
    • Wu, X. H.; Shen, S. P.; Tao, W. Q. (2007): Meshless Local Petrov-Galerkin collocation method for two-dimensional heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, vol.22, no.1, pp. 65-76.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.22 , Issue.1 , pp. 65-76
    • Wu, X.H.1    Shen, S.P.2    Tao, W.Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.