6533b835fe1ef96bd129ffef
RESEARCH PRODUCT
Optimal control in models with conductive‐radiative heat transfer
Karlis Birgelissubject
elliptic equationMathematical analysisradiative heat transferMixed boundary conditionOptimal controlElliptic boundary value problemRobin boundary conditionnonlocal boundary conditionsBoundary conditions in CFDShooting methodModeling and Simulationboundary value problemFree boundary problemQA1-939Boundary value problemAnalysisMathematicsMathematicsdescription
In this paper an optimal control problem for the elliptic boundary value problem with nonlocal boundary conditions is considered. It is shown that the weak solutions of the boundary value problem depend smoothly on the control parameter and that the cost functional of the optimal control problem is Frechet differentiable with respect to the control parameter. Optimalus valdymas modeliuose su laidžiu-radioaktyviu šilumos pernešimu Santrauka Darbe nagrinejamas nelokalaus kraštinio uždavinio optimalaus valdymo uždavinys. Parodyta, kad silpnasis kraštinio uždavinio sprendinys tolydžiai priklauso nuo valdomojo parametro, taigi, optimalaus valdymo tikslo funkcija yra diferencijuojama Freše prasme pagal valdomus parametrus. First Published Online: 14 Oct 2010
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-03-31 | Mathematical Modelling and Analysis |