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Volumn 61, Issue 14, 2004, Pages 2461-2479

Treatment of material discontinuity in two meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction

Author keywords

Convergence studies; Jump function; Lagrange multipliers; Meshless MLPG1 and MLPG5 methods

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DISKS (STRUCTURAL COMPONENTS); ERRORS; HEAT FLUX; INTERFACES (MATERIALS); MATHEMATICAL MODELS;

EID: 10644248308     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1156     Document Type: Article
Times cited : (53)

References (26)
  • 4
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • Lucy LB. A numerical approach to the testing of the fission hypothesis. The Astronomical Journal 1977; 82(12):1013-1024.
    • (1977) The Astronomical Journal , vol.82 , Issue.12 , pp. 1013-1024
    • Lucy, L.B.1
  • 5
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Computational Mechanics 1992; 10:307-318.
    • (1992) Computational Mechanics , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 8
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree
    • Wendland H. Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree. Advances in Computational Methods 1995; 4:389-396.
    • (1995) Advances in Computational Methods , vol.4 , pp. 389-396
    • Wendland, H.1
  • 9
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 1998; 22 2):117-127.
    • (1998) Computational Mechanics , vol.22 , Issue.2 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 10
    • 5444259294 scopus 로고    scopus 로고
    • Modified smoothed particle hydrodynamics method and its application to transient problems
    • Zhang GM, Batra RC. Modified smoothed particle hydrodynamics method and its application to transient problems. Computational Mechanics 2004; 34:137-146.
    • (2004) Computational Mechanics , vol.34 , pp. 137-146
    • Zhang, G.M.1    Batra, R.C.2
  • 11
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K. Surfaces generated by moving least squares methods. Mathematics of Computation 1981; 37:141-158.
    • (1981) Mathematics of Computation , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 12
    • 0042964833 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite element methods
    • Atluri SN, Shen SP. The meshless local Petrov-Galerkin (MLPG) method: a simple and less-costly alternative to the finite element methods. Computer Modeling in Engineering and Sciences 2002; 3(1 ):11-51.
    • (2002) Computer Modeling in Engineering and Sciences , vol.3 , Issue.1 , pp. 11-51
    • Atluri, S.N.1    Shen, S.P.2
  • 13
    • 0242317235 scopus 로고    scopus 로고
    • Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods
    • Qian LF, Batra RC, Chen LM. Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. Computer Modeling in Engineering and Sciences 2003; 4:161-176.
    • (2003) Computer Modeling in Engineering and Sciences , vol.4 , pp. 161-176
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 14
    • 0036164688 scopus 로고    scopus 로고
    • Higher order piezoelectric plate theory derived from a three-dimensional variational principle
    • Batra RC, Vidoli S. Higher order piezoelectric plate theory derived from a three-dimensional variational principle. AIAA Journal 2002; 40(1):91-104.
    • (2002) AIAA Journal , vol.40 , Issue.1 , pp. 91-104
    • Batra, R.C.1    Vidoli, S.2
  • 16
    • 0141742223 scopus 로고    scopus 로고
    • A local Heaviside weighted meshless method for two-dimensional solids using radial basis functions
    • Xiao JR, McCarthy MA. A local Heaviside weighted meshless method for two-dimensional solids using radial basis functions. Computational Mechanics 2003; 31:301-315.
    • (2003) Computational Mechanics , vol.31 , pp. 301-315
    • Xiao, J.R.1    McCarthy, M.A.2
  • 17
    • 0035271335 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analysis for solids
    • Gu YT, Liu GR. A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analysis for solids. Computational Mechanics 2000; 27:188-198.
    • (2000) Computational Mechanics , vol.27 , pp. 188-198
    • Gu, Y.T.1    Liu, G.R.2
  • 18
    • 2642549394 scopus 로고    scopus 로고
    • Analysis of elastodynamic deformations near a crack-notch tip by the meshless local Petrov-Galerkin (MLPG) Method
    • Batra RC, Ching H-K. Analysis of elastodynamic deformations near a crack-notch tip by the meshless local Petrov-Galerkin (MLPG) Method. Computer Modeling in Engineering and Sciences 2002; 3:717-730.
    • (2002) Computer Modeling in Engineering and Sciences , vol.3 , pp. 717-730
    • Batra, R.C.1    Ching, H.-K.2
  • 19
    • 1442290791 scopus 로고    scopus 로고
    • Free and forced vibrations of thick rectangular plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method
    • Qian LF, Batra RC, Chen LM. Free and forced vibrations of thick rectangular plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method. Computer Modeling in Engineering and Sciences 2003; 4:519-534.
    • (2003) Computer Modeling in Engineering and Sciences , vol.4 , pp. 519-534
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 20
    • 10644288102 scopus 로고    scopus 로고
    • Design of bidirectional functionally graded plate for optimal natural frequency
    • in press
    • Qian LF, Batra RC. Design of bidirectional functionally graded plate for optimal natural frequency. Journal of Sound and Vibration 2004; in press.
    • (2004) Journal of Sound and Vibration
    • Qian, L.F.1    Batra, R.C.2
  • 21
    • 85010190064 scopus 로고    scopus 로고
    • Static and dynamic deformations of thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method
    • Qian LF, Batra C, Chen LM. Static and dynamic deformations of thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method. Composites: Part B 2004; 35:685-697.
    • (2004) Composites: Part B , vol.35 , pp. 685-697
    • Qian, L.F.1    Batra, C.2    Chen, L.M.3
  • 22
    • 4043179119 scopus 로고    scopus 로고
    • Transient thermoelastic deformations of a thick functionally graded plate
    • Qian LF, Batra RC. Transient thermoelastic deformations of a thick functionally graded plate. Journal of Thermal Stresses 2004; 27 705-740.
    • (2004) Journal of Thermal Stresses , vol.27 , pp. 705-740
    • Qian, L.F.1    Batra, R.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.