6533b825fe1ef96bd1281f19
RESEARCH PRODUCT
Strictly convergent algorithm for an elliptic equation with nonlocal and nonlinear boundary conditions
Karlis BirgelisUldis Raitumssubject
conductive-radiative heat transferelliptic equationMathematical analysisMixed boundary conditionRobin boundary conditionPoincaré–Steklov operatorNonlinear systemElliptic curveNewton methodModeling and SimulationQA1-939Neumann boundary conditionFree boundary problemBoundary value problemAlgorithmMathematicsAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-02-01 | Mathematical Modelling and Analysis |