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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 46, 2004 - Issue 2
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Original Articles

MESHLESS EFG METHOD IN THREE-DIMENSIONAL HEAT TRANSFER PROBLEMS: A NUMERICAL COMPARISON, COST AND ERROR ANALYSIS

Pages 199-220 | Received 01 Feb 2003, Accepted 01 Feb 2004, Published online: 17 Aug 2010

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Wah Yen Tey, Yutaka Asako, Khai Ching Ng & Wei-Haur Lam. (2020) A review on development and applications of element-free galerkin methods in computational fluid dynamics. International Journal for Computational Methods in Engineering Science and Mechanics 21:5, pages 252-275.
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Y.J. Dai, X.H. Wu & W.Q. Tao. (2011) Weighted Least-Squares Collocation Method (WLSCM) for 2-D and 3-D Heat Conduction Problems in Irregular Domains. Numerical Heat Transfer, Part B: Fundamentals 59:6, pages 473-494.
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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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J. Y. Tan, L. H. Liu & B. X. Li. (2006) Least-Squares Collocation Meshless Approach for Coupled Radiative and Conductive Heat Transfer. Numerical Heat Transfer, Part B: Fundamentals 49:2, pages 179-195.
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Y. L. Wu, G. R. Liu & Y. T. Gu. (2005) Application of Meshless Local Petrov-Galerkin (MLPG) Approach to Simulation of Incompressible Flow. Numerical Heat Transfer, Part B: Fundamentals 48:5, pages 459-475.
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I.V. Singh. (2005) A Numerical Study of Weight Functions, Scaling, and Penalty Parameters for Heat Transfer Applications. Numerical Heat Transfer, Part A: Applications 47:10, pages 1025-1053.
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T.J. Yang & X.Y. Cui. (2017) A random field model based on nodal integration domain for stochastic analysis of heat transfer problems. International Journal of Thermal Sciences 122, pages 231-247.
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Zan Zhang, JianFei Wang, YuMin Cheng & Kim Meow Liew. (2013) The improved element-free Galerkin method for three-dimensional transient heat conduction problems. Science China Physics, Mechanics and Astronomy 56:8, pages 1568-1580.
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R.J. Cheng & K.M. Liew. (2012) Analyzing modified equal width (MEW) wave equation using the improved element-free Galerkin method. Engineering Analysis with Boundary Elements 36:9, pages 1322-1330.
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Donat Racz & Tinh Quoc Bui. (2012) Novel adaptive meshfree integration techniques in meshless methods. International Journal for Numerical Methods in Engineering 90:11, pages 1414-1434.
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R.J. Cheng & K.M. Liew. (2012) A meshless analysis of three-dimensional transient heat conduction problems. Engineering Analysis with Boundary Elements 36:2, pages 203-210.
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Udaya K. Sajja & Sergio D. Felicelli. (2009) Element‐free Galerkin method for thermosolutal convection and macrosegregation. International Journal for Numerical Methods in Fluids 64:7, pages 733-760.
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S.C. Wu, G.R. Liu, X.Y. Cui, T.T. Nguyen & G.Y. Zhang. (2010) An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system. International Journal of Heat and Mass Transfer 53:9-10, pages 1938-1950.
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S.P. Hu, C.M. Fan & D.L. Young. (2010) The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. International Journal of Heat and Mass Transfer 53:9-10, pages 2240-2247.
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Haitian Yang & Yiqian He. (2010) Solving heat transfer problems with phase change via smoothed effective heat capacity and element-free Galerkin methods. International Communications in Heat and Mass Transfer 37:4, pages 385-392.
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Amir Khosravifard & Mohammad Rahim Hematiyan. (2010) A new method for meshless integration in 2D and 3D Galerkin meshfree methods. Engineering Analysis with Boundary Elements 34:1, pages 30-40.
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Rongjun Cheng & K. M. Liew. (2009) The reproducing kernel particle method for two-dimensional unsteady heat conduction problems. Computational Mechanics 45:1, pages 1-10.
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I.V. Singh, Masataka Tanaka, J. Zhang & M. Endo. (2007) Evaluation of effective thermal conductivity of CNT‐based nano‐composites by element free Galerkin method. International Journal of Numerical Methods for Heat & Fluid Flow 17:8, pages 757-769.
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Indra Vir Singh, Masataka Tanaka & Morinobu Endo. (2007) Effect of interface on the thermal conductivity of carbon nanotube composites. International Journal of Thermal Sciences 46:9, pages 842-847.
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Akhilendra Singh, Indra Vir Singh & Ravi Prakash. (2007) Meshless element free Galerkin method for unsteady nonlinear heat transfer problems. International Journal of Heat and Mass Transfer 50:5-6, pages 1212-1219.
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I. V. Singh, Masa Tanaka & M. Endo. (2006) Thermal Analysis of CNT-Based Nano-Composites by Element Free Galerkin Method. Computational Mechanics 39:6, pages 719-728.
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Rusty Rook & Sadik Dost. (2007) The use of smoothed particle hydrodynamics for simulating crystal growth from solution. International Journal of Engineering Science 45:1, pages 75-93.
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I. V. Singh & Masa Tanaka. (2006) Thermal solution of cylindrical composite systems using meshless method. Heat and Mass Transfer 42:8, pages 689-707.
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