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Volumn 46, Issue 2, 2004, Pages 199-220

Meshless EFG method in three-dimensional heat transfer problems: A numerical comparison, cost and error analysis

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COSTS; ERROR ANALYSIS; FUNCTIONS; GALERKIN METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 3342876814     PISSN: 10407782     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407780490457437     Document Type: Article
Times cited : (45)

References (42)
  • 1
    • 0023165466 scopus 로고
    • An Introduction to SPH
    • J. J. Monaghan, An Introduction to SPH, Comput. Phys. Commun., vol. 48, pp. 89-96, 1988.
    • (1988) Comput. Phys. Commun. , vol.48 , pp. 89-96
    • Monaghan, J.J.1
  • 2
    • 0142088484 scopus 로고
    • Smoothed particle hydrodynamics
    • J. J. Monaghan, Smoothed Particle Hydrodynamics, Annu. Rev. Astron. Astrophys., vol. 30, pp. 543-574, 1972.
    • (1972) Annu. Rev. Astron. Astrophys. , vol.30 , pp. 543-574
    • Monaghan, J.J.1
  • 3
    • 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., vol. 10, pp. 307-318, 1992.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 4
    • 0027559258 scopus 로고
    • Use of diffuse element for electromagnetic field computations
    • Y. Marechal, J. L. Coulomb, and G. Meunier, Use of Diffuse Element for Electromagnetic Field Computations, IEEE Trans. Magnet., vol. 29, pp. 1475-1478, 1993.
    • (1993) IEEE Trans. Magnet. , vol.29 , pp. 1475-1478
    • Marechal, Y.1    Coulomb, J.L.2    Meunier, G.3
  • 5
    • 0028393126 scopus 로고
    • Using the diffuse approximation for optimizing the location of anti-sound sources
    • B. Nayroles, B. G. Touzot, and P. Villon, Using the Diffuse Approximation for Optimizing the Location of Anti-sound Sources, J. Sound Vibration, vol. 1, pp. 1-21, 1994.
    • (1994) J. Sound Vibration , vol.1 , pp. 1-21
    • Nayroles, B.1    Touzot, B.G.2    Villon, P.3
  • 6
  • 7
    • 84924274968 scopus 로고
    • Reproducing kernel particle methods for structural dynamics
    • W. K. Liu, S. Jun, S. Li, J. Adee, and T. Belytschko, Reproducing Kernel Particle Methods for Structural Dynamics, Int. J. Numer. Meth. Eng., vol. 38, pp. 1655-1679, 1995.
    • (1995) Int. J. Numer. Meth. Eng. , vol.38 , pp. 1655-1679
    • Liu, W.K.1    Jun, S.2    Li, S.3    Adee, J.4    Belytschko, T.5
  • 9
    • 0031678553 scopus 로고    scopus 로고
    • Explicit reproducing kernel particle methods for large deformation problems
    • S. Jun, W. K. Liu, and T. Belytschko, Explicit Reproducing Kernel Particle Methods for Large Deformation Problems, Int. J. Numer. Meth. Eng., vol. 41, pp. 137-166, 1998.
    • (1998) Int. J. Numer. Meth. Eng. , vol.41 , pp. 137-166
    • Jun, S.1    Liu, W.K.2    Belytschko, T.3
  • 11
    • 0030234048 scopus 로고    scopus 로고
    • Free mesh method, a new meshless finite element method
    • G. Yagawa and T. Yamada, Free Mesh Method, A New Meshless Finite Element Method, Comput. Mech., vol. 18, pp. 383-386, 1996.
    • (1996) Comput. Mech. , vol.18 , pp. 383-386
    • Yagawa, G.1    Yamada, T.2
  • 13
    • 0028400170 scopus 로고
    • A new implementation of the element free galerkin method
    • Y. Y. Lu, T. Belytschko, and L. Gu, A New Implementation of the Element Free Galerkin Method, Comput. Meth. Appl. Mech. Eng., vol. 113, pp. 397-414, 1994.
    • (1994) Comput. Meth. Appl. Mech. Eng. , vol.113 , pp. 397-414
    • Lu, Y.Y.1    Belytschko, T.2    Gu, L.3
  • 15
    • 11744381367 scopus 로고    scopus 로고
    • An introduction to programming the meshless element free galerkin method
    • J. Dolbow and T. Belytschko, An Introduction to Programming the Meshless Element Free Galerkin Method, Archi. Comput. Meth. Eng., vol. 5, pp. 207-241, 1998.
    • (1998) Archi. Comput. Meth. Eng. , vol.5 , pp. 207-241
    • Dolbow, J.1    Belytschko, T.2
  • 16
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale kernel particle methods
    • W. K. Liu, Y. Chen, C. T. Chang, and T. Belytschko, Advances in Multiple Scale Kernel Particle Methods, Comput. Mech., vol. 18, pp. 73-111, 1996.
    • (1996) Comput. Mech. , vol.18 , pp. 73-111
    • Liu, W.K.1    Chen, Y.2    Chang, C.T.3    Belytschko, T.4
  • 17
    • 0031101429 scopus 로고    scopus 로고
    • A petrov-galerkin diffuse element method (PG-DEM) and its comparison to EFG
    • Y. Krongauz and T. Belytschko, A Petrov-Galerkin Diffuse Element Method (PG-DEM) and Its Comparison to EFG, Comput. Mech., vol. 19, pp. 327-333, 1997.
    • (1997) Comput. Mech. , vol.19 , pp. 327-333
    • Krongauz, Y.1    Belytschko, T.2
  • 18
    • 0031119696 scopus 로고    scopus 로고
    • Moving least square kernel galerkin method (1) methodology and convergence
    • W. K. Liu, S. Liu, and T. Belytschko, Moving Least Square Kernel Galerkin Method (1) Methodology and Convergence, Comput. Meth. Appl. Mech. Eng., vol. 13, pp. 113-154, 1997.
    • (1997) Comput. Meth. Appl. Mech. Eng. , vol.13 , pp. 113-154
    • Liu, W.K.1    Liu, S.2    Belytschko, T.3
  • 19
    • 0000070496 scopus 로고    scopus 로고
    • Multiple scale meshfree methods for damage fracture and localization
    • W. K. Liu, S. Hao, T. Belytschko, S. Li, and C. T. Chang, Multiple Scale Meshfree Methods for Damage Fracture and Localization, Comput. Mater. Sci., vol. 16, pp. 197-205, 1999.
    • (1999) Comput. Mater. Sci. , vol.16 , pp. 197-205
    • Liu, W.K.1    Hao, S.2    Belytschko, T.3    Li, S.4    Chang, C.T.5
  • 21
    • 0034230204 scopus 로고    scopus 로고
    • A unified stability analysis of meshless particle methods
    • T. Belytschko, Y. Guo, W. K. Liu, and S. P. Xiao, A Unified Stability Analysis of Meshless Particle Methods, Int. J. Numer. Meth. Eng., vol. 48, pp. 1359-1400, 2000.
    • (2000) Int. J. Numer. Meth. Eng. , vol.48 , pp. 1359-1400
    • Belytschko, T.1    Guo, Y.2    Liu, W.K.3    Xiao, S.P.4
  • 22
    • 0032140071 scopus 로고    scopus 로고
    • A meshless local boundary integral equation (LBIE) method for solving nonlinear problems
    • T. Zhu, J. D. Zhang, and S. N. Atluri, A Meshless Local Boundary Integral Equation (LBIE) Method for Solving Nonlinear Problems, Comput. Mech., vol. 22, pp. 174-186, 1998.
    • (1998) Comput. Mech. , vol.22 , pp. 174-186
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3
  • 23
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • S. N. Atluri and T. Zhu, A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Comput. Mech., vol. 22, pp. 117-127, 1998.
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 25
    • 0000882148 scopus 로고    scopus 로고
    • The method of finite spheres
    • S. De and K. J. Bathe, The Method of Finite Spheres, Comput. Mech., vol. 25, pp. 329-345, 2000.
    • (2000) Comput. Mech. , vol.25 , pp. 329-345
    • De, S.1    Bathe, K.J.2
  • 27
    • 42549172985 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, Modell. Simulat. Mater. Sci. Eng., vol. 2, pp. 519-534, 1994.
    • (1994) Modell. Simulat. Mater. Sci. Eng. , vol.2 , pp. 519-534
    • Belytschko, T.1    Gu, L.2    Lu, Y.Y.3
  • 28
    • 0001558336 scopus 로고    scopus 로고
    • An element-free galerkin method for three-dimensional fracture mechanics
    • N. Sukumar, B. Moran, T. Black, and T. Belytschko, An Element-Free Galerkin Method for Three-Dimensional Fracture Mechanics, Comput. Mech., vol. 20, pp. 170-175, 1997.
    • (1997) Comput. Mech. , vol.20 , pp. 170-175
    • Sukumar, N.1    Moran, B.2    Black, T.3    Belytschko, T.4
  • 29
    • 0029378909 scopus 로고
    • Element-free galerkin methods for static and dynamic fracture
    • T. Belytschko, Y. Y. Lu, L. Gu, and M. Tabbara, Element-Free Galerkin Methods for Static and Dynamic Fracture, Int. J. Solids Struct., vol. 32, pp. 2547-2570, 1995.
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 2547-2570
    • Belytschko, T.1    Lu, Y.Y.2    Gu, L.3    Tabbara, M.4
  • 30
    • 0030107160 scopus 로고    scopus 로고
    • Dynamic fracture using element-free galerkin methods
    • T. Belytschko and M. Tabbara, Dynamic Fracture Using Element-Free Galerkin Methods, Int. J. Numer. Meth. Eng., vol. 39, pp. 923-938, 1996.
    • (1996) Int. J. Numer. Meth. Eng. , vol.39 , pp. 923-938
    • Belytschko, T.1    Tabbara, M.2
  • 31
    • 0034228793 scopus 로고    scopus 로고
    • Element-free galerkin methods for dynamic fracture in concrete
    • T. Belytschko, D. Organ, and C. Gerlach, Element-Free Galerkin Methods for Dynamic Fracture in Concrete, Comput. Meth. Appl. Mech. Eng., vol. 187, pp. 285-399, 2000.
    • (2000) Comput. Meth. Appl. Mech. Eng. , vol.187 , pp. 285-399
    • Belytschko, T.1    Organ, D.2    Gerlach, C.3
  • 32
    • 0029369575 scopus 로고
    • Element-free galerkin methods for wave propagation and dynamic fracture
    • Y. Y. Lu, T. Belytschko, and M. Tabbara, Element-Free Galerkin Methods for Wave Propagation and Dynamic Fracture, Comput. Meth. Appl. Mech. Eng., vol. 126, pp. 131-153, 1995.
    • (1995) Comput. Meth. Appl. Mech. Eng. , vol.126 , pp. 131-153
    • Lu, Y.Y.1    Belytschko, T.2    Tabbara, M.3
  • 33
    • 0000844597 scopus 로고
    • Crack propagation by element-free galerkin methods
    • T. Belytschko, Y. Y. Lu, and L. Gu, Crack Propagation by Element-Free Galerkin Methods, Eng. Fract. Mech., vol. 51, pp. 295-315, 1995.
    • (1995) Eng. Fract. Mech. , vol.51 , pp. 295-315
    • Belytschko, T.1    Lu, Y.Y.2    Gu, L.3
  • 34
    • 0033078549 scopus 로고    scopus 로고
    • The element free-galerkin method for dynamic propagation of arbitrary 3-D cracks
    • P. Krysl and T. Belytschko, The Element Free-Galerkin Method for Dynamic Propagation of Arbitrary 3-D Cracks, Int. J. Numer. Meth. Eng., vol. 44, pp. 767-800, 1999.
    • (1999) Int. J. Numer. Meth. Eng. , vol.44 , pp. 767-800
    • Krysl, P.1    Belytschko, T.2
  • 35
    • 0029484915 scopus 로고    scopus 로고
    • Analysis of thin plates by element-free galerkin method
    • P. Krysl and T. Belytschko, Analysis of Thin Plates by Element-Free Galerkin Method, Comput. Mech., vol. 17, pp. 26-35, 1996.
    • (1996) Comput. Mech. , vol.17 , pp. 26-35
    • Krysl, P.1    Belytschko, T.2
  • 36
    • 0030211580 scopus 로고    scopus 로고
    • Analysis of thin shells by element-free galerkin method
    • P. Krysl and T. Belytschko, Analysis of Thin Shells by Element-Free Galerkin Method, Int. J. Solids Struct., vol. 33, pp. 3057-3080, 1996.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 3057-3080
    • Krysl, P.1    Belytschko, T.2
  • 38
    • 33747925470 scopus 로고    scopus 로고
    • Element-free galerkin method for electromagnetic field computations
    • V. Cingoski, N. Miyamoto, and H. Yamashita, Element-Free Galerkin Method for Electromagnetic Field Computations, IEEE Trans. Magnet., vol. 34, pp. 3236-3239, 1998.
    • (1998) IEEE Trans. Magnet. , vol.34 , pp. 3236-3239
    • Cingoski, V.1    Miyamoto, N.2    Yamashita, H.3
  • 39
    • 0034927464 scopus 로고    scopus 로고
    • Element-free galerkin method for contact problems in metal forming analysis
    • G. Li and T. Belytschko, Element-Free Galerkin Method for Contact Problems in Metal Forming Analysis, Eng. Comput., vol. 18, pp. 62-78, 2001.
    • (2001) Eng. Comput. , vol.18 , pp. 62-78
    • Li, G.1    Belytschko, T.2
  • 40
    • 0242415465 scopus 로고    scopus 로고
    • Heat transfer analysis of two-dimensional fins using meshless element-free galerkin method
    • I. V. Singh, K. Sandeep, and R. Prakash, Heat Transfer Analysis of Two-Dimensional Fins Using Meshless Element-Free Galerkin Method, Numer. Heat Transfer A, vol. 44, pp. 73-84, 2003.
    • (2003) Numer. Heat Transfer A , vol.44 , pp. 73-84
    • Singh, I.V.1    Sandeep, K.2    Prakash, R.3
  • 41
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster and K. Salkauskas, Surfaces Generated by Moving Least Squares Methods, Math. Comput., vol. 37, pp. 141-158, 1981.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 42
    • 0035808197 scopus 로고    scopus 로고
    • ESFLIB: A library to compute the element-free galerkin shape functions
    • P. Krysl and T. Belytschko, ESFLIB: A Library to Compute the Element-Free Galerkin Shape Functions, Comput. Meth. Appl. Mech. Eng., vol. 190, pp. 2181-2205, 2001.
    • (2001) Comput. Meth. Appl. Mech. Eng. , vol.190 , pp. 2181-2205
    • Krysl, P.1    Belytschko, T.2


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