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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 51, 2007 - Issue 7
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Original Articles

Least-Squares Finite-Element Method of Multidimensional Radiative Heat Transfer in Absorbing and Scattering Media

L. M. Ruan School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, People's Republic of ChinaCorrespondence[email protected]
,
W. An School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, People's Republic of China
,
H. P. Tan School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, People's Republic of China
&
H. Qi School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, People's Republic of China
Pages 657-677 | Received 19 Feb 2006, Accepted 21 Jul 2006, Published online: 30 Mar 2007

Citations (17)

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Cun-Hai Wang & Hua-Yuan Liu. (2018) Discontinuous Galerkin finite element method for radiative heat transfer in two-dimensional media with inner obstacles. Numerical Heat Transfer, Part A: Applications 73:11, pages 806-822.
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Kang Luo, Zhi-Hong Cao, Hong-Liang Yi & He-Ping Tan. (2014) Convection-Radiation Interaction in 3-D Irregular Enclosures Using the Least Squares Finite Element Method. Numerical Heat Transfer, Part A: Applications 66:2, pages 165-184.
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D.L. Wang, Hong Qi & L.M. Ruan. (2013) Retrieve properties of participating media by different spans of radiative signals using the SPSO algorithm. Inverse Problems in Science and Engineering 21:5, pages 888-915.
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X.Y. Wang, H. Qi, S.G. Wang & L.M. Ruan. (2012) The Combined Radiative Integral Equations and Finite-Element Method for Radiation in Anisotropic Scattering Media. Numerical Heat Transfer, Part B: Fundamentals 61:5, pages 387-411.
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Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
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Wei An, Tong Zhu & Li-Jie Yin. (2011) Improved Iterative Convergence of the Finite-Element Method in the Solution of the Second-Order Radiative Transfer Equation by Modified Diffusion Synthetic Acceleration. Numerical Heat Transfer, Part B: Fundamentals 59:5, pages 409-420.
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L. Zhang, J. M. Zhao & L. H. Liu. (2010) A Finite-Element Model for the Thermal Radiative Properties of Graded Index Fiber Coated with Thin Absorbing Film. Numerical Heat Transfer, Part A: Applications 58:2, pages 85-100.
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Eric Li, G. R. Liu & Vincent Tan. (2010) Simulation of Hyperthermia Treatment Using the Edge-Based Smoothed Finite-Element Method. Numerical Heat Transfer, Part A: Applications 57:11, pages 822-847.
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SubhashC. Mishra, T. B. Pavan Kumar & Bittagopal Mondal. (2008) Lattice Boltzmann Method Applied to the Solution of Energy Equation of a Radiation and Non-Fourier Heat Conduction Problem. Numerical Heat Transfer, Part A: Applications 54:8, pages 798-818.
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Articles from other publishers (8)

Michael F. Modest & Sandip Mazumder. 2022. Radiative Heat Transfer. Radiative Heat Transfer 563 616 .
M.A. Badri, P. Jolivet, B. Rousseau & Y. Favennec. (2019) Preconditioned Krylov subspace methods for solving radiative transfer problems with scattering and reflection. Computers & Mathematics with Applications 77:6, pages 1453-1465.
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M.A. Badri, P. Jolivet, B. Rousseau, S. Le Corre, H. Digonnet & Y. Favennec. (2018) Vectorial finite elements for solving the radiative transfer equation. Journal of Quantitative Spectroscopy and Radiative Transfer 212, pages 59-74.
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L. Zhang, J. M. Zhao & L. H. Liu. (2016) A New Stabilized Finite Element Formulation for Solving Radiative Transfer Equation. Journal of Heat Transfer 138:6.
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Yatao Ren, Hong Qi, Qin Chen & Liming Ruan. (2015) Inverse Transient Radiative Analysis in Two-Dimensional Turbid Media by Particle Swarm Optimizations. Mathematical Problems in Engineering 2015, pages 1-15.
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J.M. Zhao, J.Y. Tan & L.H. Liu. (2012) A deficiency problem of the least squares finite element method for solving radiative transfer in strongly inhomogeneous media. Journal of Quantitative Spectroscopy and Radiative Transfer 113:12, pages 1488-1502.
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Gisela Widmer. (2010) An Efficient Sparse Finite Element Solver for the Radiative Transfer Equation. Journal of Heat Transfer 132:2.
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HePing Tan, LinHua Liu, HongLiang Yi, JunMing Zhao, Hong Qi & JianYu Tan. (2009) Recent progress in computational thermal radiative transfer. Chinese Science Bulletin 54:22, pages 4135-4147.
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