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Klein, Olaf; Philip, Peter

Transient conductive-radiative heat transfer: discrete existence and uniqueness for a finite volume scheme. (English) Zbl 1070.65075

Math. Models Methods Appl. Sci. 15, No. 2, 227-258 (2005).
The paper deals with the analysis of a finite volume discretization of transient heat equations coupled by nonlocal operators modelling diffuse-gray radiation between surfaces of cavities.
Reviewer: Emil Minchev (Tokyo)

Cited in 8 Documents

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
35K55 Nonlinear parabolic equations
80A20 Heat and mass transfer, heat flow (MSC2010)
45K05 Integro-partial differential equations
65R20 Numerical methods for integral equations
80M20 Finite difference methods applied to problems in thermodynamics and heat transfer

Keywords:

partial integro-differential equations; finite volume method; nonlinear parabolic equations; maximum principle; heat equations

Software:

pdelib
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\textit{O. Klein} and \textit{P. Philip}, Math. Models Methods Appl. Sci. 15, No. 2, 227--258 (2005; Zbl 1070.65075)
Full Text: DOI

References:

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