Search results for "conductive-radiative heat transfer"

showing 2 items of 2 documents

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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Strictly convergent algorithm for an elliptic equation with nonlocal and nonlinear boundary conditions

2012

The paper describes a formally strictly convergent algorithm for solving a class of elliptic problems with nonlinear and nonlocal boundary conditions, which arise in modeling of the steady-state conductive-radiative heat transfer processes. The proposed algorithm has two levels of iterations, where inner iterations by means of the damped Newton method solve an appropriate elliptic problem with nonlinear, but local boundary conditions, and outer iterations deal with nonlocal terms in boundary conditions.

conductive-radiative heat transferelliptic equationMathematical analysisMixed boundary conditionRobin boundary conditionPoincaré–Steklov operatorNonlinear systemElliptic curveNewton methodModeling and SimulationQA1-939Neumann boundary conditionFree boundary problemBoundary value problemAlgorithmMathematicsAnalysisMathematicsMathematical Modelling and Analysis
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