6533b856fe1ef96bd12b1d9a
RESEARCH PRODUCT
Convergence of the finite volume method for a conductive-radiative heat transfer problem
Uldis RaitumsKarlis Birgelissubject
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 conductorMathematicsAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-04-01 | Mathematical Modelling and Analysis |