Search results for "nonlocal and nonlinear boundary conditions"

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Convergence of the finite volume method for a conductive-radiative heat transfer problem

2013

We show that the finite volume method rigorously converges to the solution of a conductive-radiative heat transfer problem with nonlocal and nonlinear boundary conditions. To get this result, we start by proving existence of solutions for a finite volume discretization of the original problem. Then, by obtaining uniform boundedness of discrete solutions and their discrete gradients with respect to mesh size, we finally get L 2type convergence of discrete solutions.

Finite volume methodconductive-radiative heat transferconvergenceMathematical analysisHeat transfer problemnonlocal and nonlinear boundary conditionsfinite volume methodType (model theory)Nonlinear boundary conditionsThermal radiationModeling and SimulationConvergence (routing)QA1-939Uniform boundednessElectrical conductorMathematicsAnalysisMathematicsMathematical Modelling and Analysis
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