메뉴 건너뛰기




Volumn 56, Issue 8, 2013, Pages 1568-1580

The improved element-free Galerkin method for three-dimensional transient heat conduction problems

Author keywords

improved element free Galerkin (IEFG) method; improved moving least squares (IMLS) approximation; penalty method; transient heat conduction; weighted orthogonal function

Indexed keywords

IMPROVED ELEMENT FREE GALERKIN (IEFG) METHODS; IMPROVED MOVING LEAST-SQUARES APPROXIMATION; PENALTY METHODS; TRANSIENT HEAT CONDUCTION; WEIGHTED ORTHOGONAL FUNCTION;

EID: 84880303003     PISSN: 16747348     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11433-013-5135-0     Document Type: Article
Times cited : (94)

References (36)
  • 3
    • 0018431386 scopus 로고
    • Finite element formulation and solution of nonlinear heat transfer
    • 10.1016/0029-5493(79)90126-2
    • Bathe K J, Khoshgoftaar M R. Finite element formulation and solution of nonlinear heat transfer. Nucl Eng Des, 1979, 51: 389-401
    • (1979) Nucl Eng des , vol.51 , pp. 389-401
    • Bathe, K.J.1    Khoshgoftaar, M.R.2
  • 4
    • 0016102862 scopus 로고
    • Finite element analysis of steady-state nonlinear heat transfer problems
    • 10.1016/0029-5493(74)90165-4
    • Donea J, Giuliani S. Finite element analysis of steady-state nonlinear heat transfer problems. Nucl Eng Des, 1974, 30: 205-213
    • (1974) Nucl Eng des , vol.30 , pp. 205-213
    • Donea, J.1    Giuliani, S.2
  • 5
    • 0020828911 scopus 로고
    • Boundary element method in nonlinear transient heat transfer of reactor solids with convection and radiation on surfaces
    • DOI 10.1016/0029-5493(83)90046-8
    • Skerget P, Alujevic A. Boundary element method for nonlinear transient heat transfer of reactor solids with convection and radiation on surfaces. Nucl Eng Des, 1983, 76: 47-54 (Pubitemid 14506975)
    • (1983) Nuclear Engineering and Design , vol.76 , Issue.1 , pp. 47-54
    • Skerget, P.1    Alujevic, A.2
  • 7
    • 0000969263 scopus 로고    scopus 로고
    • Meshfree and particle methods and their applications
    • DOI 10.1115/1.1431547
    • Li S, Liu W K. Meshless and particles methods and their applications. Appl Mech Rev, 2002, 55: 1-34 (Pubitemid 40210956)
    • (2002) Applied Mechanics Reviews , vol.55 , Issue.1 , pp. 1-34
    • Li, S.1    Liu, W.K.2
  • 8
    • 0032529187 scopus 로고    scopus 로고
    • A numerical method for heat transfer problems using collocation and radial basis functions
    • DOI 10.1002/(SICI)1097-0207(19980815)42:7<1263::AID-NME431>3.0. CO;2-I
    • Chen C S. A numerical method for heat transfer problems using collocation and radial basis functions. Int J Numer Meth Eng, 1998, 42: 1263-1278 (Pubitemid 28469677)
    • (1998) International Journal for Numerical Methods in Engineering , vol.42 , Issue.7 , pp. 1263-1278
    • Zerroukat, M.1    Power, H.2    Chen, C.S.3
  • 9
    • 3342876814 scopus 로고    scopus 로고
    • Meshless EFG method in three-dimensional heat transfer problems: A numerical comparison, cost and error analysis
    • 2004NHTA.46.199S 10.1080/10407780490457437
    • Singh I V. Meshless EFG method in three-dimensional heat transfer problems: A numerical comparison, cost and error analysis. Numer Heat Tr A-Appl, 2004, 46: 199-220
    • (2004) Numer Heat Tr A-Appl , vol.46 , pp. 199-220
    • Singh, I.V.1
  • 10
    • 20744434562 scopus 로고    scopus 로고
    • A numerical study of weight functions, scaling, and penalty parameters for heat transfer applications
    • DOI 10.1080/10407780590926183
    • Singh I V. A numerical study of weight functions, scaling and penalty parameters for heat transfer applications. Numer Heat Tr A-Appl, 2005, 47: 1025-1053 (Pubitemid 40851349)
    • (2005) Numerical Heat Transfer; Part A: Applications , vol.47 , Issue.10 , pp. 1025-1053
    • Singh, I.V.1
  • 11
    • 3042563287 scopus 로고    scopus 로고
    • The numerical solution of three dimensional transient heat conduction problems using element free Galerkin method
    • Singh I V, Prakash R. The numerical solution of three dimensional transient heat conduction problems using element free Galerkin method. Int J Heat Tech, 2005, 21: 73-80
    • (2005) Int J Heat Tech , vol.21 , pp. 73-80
    • Singh, I.V.1    Prakash, R.2
  • 12
    • 18844410068 scopus 로고    scopus 로고
    • Parallel EFG algorithm for heat transfer problems
    • DOI 10.1016/j.advengsoft.2005.01.009, PII S0965997805000049
    • Singh I V, Jain P K. Parallel EFG algorithm for heat transfer problems. Adv Eng Softw, 2005, 36: 554-560 (Pubitemid 40682494)
    • (2005) Advances in Engineering Software , vol.36 , Issue.8 , pp. 554-560
    • Singh, I.V.1    Jain, P.K.2
  • 13
    • 33846604201 scopus 로고    scopus 로고
    • Meshless element free Galerkin method for unsteady nonlinear heat transfer problems
    • DOI 10.1016/j.ijheatmasstransfer.2006.08.039, PII S001793100600514X
    • Singh A, Singh I V, Prakash R. Meshless element free galerkin method for unsteady nonlinear heat transfer problems. Int J Heat Mass Tran, 2007, 50: 1212-1219 (Pubitemid 46186352)
    • (2007) International Journal of Heat and Mass Transfer , vol.50 , Issue.5-6 , pp. 1212-1219
    • Singh, A.1    Singh, I.V.2    Prakash, R.3
  • 14
  • 15
    • 10644248308 scopus 로고    scopus 로고
    • Treatment of material discontinuity in two meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction
    • DOI 10.1002/nme.1156
    • Batra R C, Porfiri M, Spinello D. Treatment of material discontinuity in two meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction. Int J Numer Meth Eng, 2004, 61: 2461-2479 (Pubitemid 39660847)
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , Issue.14 , pp. 2461-2479
    • Batra, R.C.1    Porfiri, M.2    Spinello, D.3
  • 16
    • 14844295428 scopus 로고    scopus 로고
    • A meshless method based on least-squares approach for steady- and unsteady-state heat conduction problems
    • DOI 10.1080/10407790590901648
    • Liu Y, Zhang X, Lu M W. A meshless method based on least-squares approach for steady- and unsteady-state heat conduction problems. Numer Heat Tr A-Appl, 2005, 47: 257-275 (Pubitemid 40339610)
    • (2005) Numerical Heat Transfer, Part B: Fundamentals , vol.47 , Issue.3 , pp. 257-275
    • Liu, Y.1    Zhang, X.2    Lu, M.-W.3
  • 17
    • 0042350804 scopus 로고    scopus 로고
    • A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity
    • Sladek J, Sladek V, Atluri S N. A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. Cmes-Comp Modelo Eng, 2001, 2: 423-433 (Pubitemid 33620140)
    • (2001) CMES - Computer Modeling in Engineering and Sciences , vol.2 , Issue.4 , pp. 423-433
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 18
    • 33745720890 scopus 로고    scopus 로고
    • Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method
    • Sladek J, Sladek V, Hellmich C. Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method. Comput Mechs, 2006, 38: 157-167
    • (2006) Comput Mechs , vol.38 , pp. 157-167
    • Sladek, J.1    Sladek, V.2    Hellmich, C.3
  • 19
    • 34548378644 scopus 로고    scopus 로고
    • The method of fundamental solutions for nonlinear functionally graded materials
    • DOI 10.1016/j.ijsolstr.2007.03.014, PII S0020768307001424
    • Marin L, Lesnic D. The method of fundamental solutions for nonlinear functionally graded materials. Int J Solids Struct, 2007, 44: 6878-6890 (Pubitemid 47361140)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.21 , pp. 6878-6890
    • Marin, L.1    Lesnic, D.2
  • 20
    • 78951490345 scopus 로고    scopus 로고
    • Boundary knot method for heat conduction in nonlinear functionally graded material
    • 2774839 1259.80025 10.1016/j.enganabound.2010.11.013
    • Fu Z J, Chen W, Qin Q H. Boundary knot method for heat conduction in nonlinear functionally graded material. Eng Anal Bound Elem, 2011, 35: 729-734
    • (2011) Eng Anal Bound Elem , vol.35 , pp. 729-734
    • Fu, Z.J.1    Chen, W.2    Qin, Q.H.3
  • 21
    • 67349269526 scopus 로고    scopus 로고
    • Analyzing three-dimensional potential problems with the improved element-free Galerkin method
    • 2507809 2009CompM.44.273Z 10.1007/s00466-009-0364-9
    • Zhang Z, Zhao P, Liew K M. Analyzing three-dimensional potential problems with the improved element-free Galerkin method. Comput Mechs, 2009, 44: 273-284
    • (2009) Comput Mechs , vol.44 , pp. 273-284
    • Zhang, Z.1    Zhao, P.2    Liew, K.M.3
  • 23
    • 1842842087 scopus 로고
    • Generalizing the finite element method: Difference approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element method: Difference approximation and diffuse elements. Comput Mechs, 1992, 10: 583-594
    • (1992) Comput Mechs , vol.10 , pp. 583-594
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 24
    • 84966237423 scopus 로고
    • Surfaces generated by moving least-squares methods
    • 616367 0469.41005 10.1090/S0025-5718-1981-0616367-1
    • Lancaster P, Salkauskas K. Surfaces generated by moving least-squares methods. Math Comput, 1981, 37: 141-158
    • (1981) Math Comput , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 25
    • 28344442464 scopus 로고    scopus 로고
    • Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform
    • DOI 10.1002/nme.1417
    • Liew K M, Cheng Y, Kitipornchai S. Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform. Int J Numer Meth Eng, 2005, 64: 1610-1627 (Pubitemid 41716058)
    • (2005) International Journal for Numerical Methods in Engineering , vol.64 , Issue.12 , pp. 1610-1627
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 27
  • 28
    • 65449132743 scopus 로고    scopus 로고
    • Reply to 'Comments on 'Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems
    • 1183.74336 10.1002/nme.2544
    • Cheng Y, Liew K M, Kitipornchai S. Reply to 'Comments on 'Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems". Int J Numer Meth Eng, 2009, 78: 1258-1260
    • (2009) Int J Numer Meth Eng , vol.78 , pp. 1258-1260
    • Cheng, Y.1    Liew, K.M.2    Kitipornchai, S.3
  • 29
    • 0032154328 scopus 로고    scopus 로고
    • Implementation of boundary conditions for meshless methods
    • 1653751 10.1016/S0045-7825(98)00014-0
    • Gunther F C, Liu W K. Implementation of boundary conditions for meshless methods. Comput Method Appl M, 1998, 163: 205-230
    • (1998) Comput Method Appl M , vol.163 , pp. 205-230
    • Gunther, F.C.1    Liu, W.K.2
  • 30
    • 0031096240 scopus 로고    scopus 로고
    • On boundary conditions in the element-free Galerkin method
    • Mukherjee Y X, Mukherjee S. On boundary conditions in the element-free Galerkin method. Comput Mech, 1997, 19: 264-270 (Pubitemid 127565978)
    • (1997) Computational Mechanics , vol.19 , Issue.4 , pp. 264-270
    • Mukherjee, Y.X.1    Mukherjee, S.2
  • 31
    • 0037050712 scopus 로고    scopus 로고
    • An augmented Lagrangian approach to essential boundary conditions in meshless methods
    • DOI 10.1002/nme.314
    • Ventura G. An augmented Lagrangian approach to essential boundary conditions in meshless methods. Int J Numer Meth Eng, 2002, 53: 825-843 (Pubitemid 34054504)
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , Issue.4 , pp. 825-842
    • Ventura, G.1
  • 32
    • 0031554859 scopus 로고    scopus 로고
    • Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions
    • PII S0045782596000078
    • Krysl P, Belytschko T. Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions. Comput Method Appl M, 1997, 148: 257-277 (Pubitemid 127407792)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.148 , Issue.3-4 , pp. 257-277
    • Krysl, P.1    Belytschko, T.2
  • 33
    • 0032024733 scopus 로고    scopus 로고
    • An error estimate in the EFG method
    • Chung H J, Belytschko T. An error estimate in the EFG method. Comput Mech, 1998, 21: 91-100 (Pubitemid 128570272)
    • (1998) Computational Mechanics , vol.21 , Issue.2 , pp. 91-100
    • Chung, H.-J.1    Belytschko, T.2
  • 36
    • 0035280927 scopus 로고    scopus 로고
    • An error indicator for the element free Galerkin method
    • DOI 10.1016/S0997-7538(00)01132-3, PII S0997753800011323
    • Gavete L, Faclon S, Ruiz A. An error indicator for the element free Galerkin method. Eur J Mech A-Solid, 2001, 20: 327-341 (Pubitemid 32257842)
    • (2001) European Journal of Mechanics, A/Solids , vol.20 , Issue.2 , pp. 327-341
    • Gavete, L.1    Falcon, S.2    Ruiz, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.