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

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
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