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Original Articles

Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations

Pages 249-260 | Received 06 Mar 1995, Accepted 11 Jan 1996, Published online: 20 Aug 2006

References

  • Busbridge , I. W. 1960 . The Mathematics of Radiative Transfer , Cambridge : Cambridge Univ. Press . no. 50 in Cambridge Tracts
  • Chandrasekhar , S. 1960 . Radiative Transfer , New York : Dover .
  • Kelley , C. T. April April 1993 . “ Multilevel source iteration accelerators for the linear transport equation in slab geometry ” . April , North Carolina State University, Center for Research in Scientific Computation . Tech. Report CRSC-TR93–5, Trans. Th. Stat. Phys., to appear.
  • Larsen , E. W. 1982 . Finite difference approximations and superconvergence for the discrete ordinate equations in slab geometry . SIAM J. Numer. Anal. , 19 : 334 – 348 .
  • Özilik , M. N. 1973 . Radiative Transfer and Interaction with Conduction and Convection , New York : John Wiley and Sons .
  • Martin , R. H. 1976 . Nonlinear Operators and Differential Equations in Banach Spaces , New York : Wiley-Interscience .
  • Pitkäranta , J. 1983 . Error estimates for the combined spatial and angular approximations of the transport equation in slab geometry . SIAM J. Numer. Anal. , 20 : 922 – 950 .
  • Siewert , C. E. 1994 . An improved iterative method for solving a class of coupled conductive-radiative heat transfer problems Submitted for publication
  • Siewert , C. E. 1991 . A computational method for solving a class of coupled conductive-radiative heat transfer problems . J. Quant. Spectrosc. Radiat. Transfer , 45 : 273 – 281 .

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