Analysis of an optimization method for solving the problem of complex heat transfer with Cauchy boundary conditions
type: Item
instance of: scholarly article
title: Analysis of an optimization method for solving the problem of complex heat transfer with Cauchy boundary conditions
DOI: 10.1134/S0965542522010092
author: P. R. Mesenev
author: A. Yu. Chebotarev
published in: Computational Mathematics and Mathematical Physics
publication date: 2022-03-16T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 80-XX
zbMATH DE Number: 7491034
zbMATH Keywords: equations of radiative-conductive heat transfer
zbMATH Keywords: diffusion approximation
zbMATH Keywords: optimal control problem
zbMATH Keywords: Cauchy conditions
describes a project that uses: DOLFIN
describes a project that uses: FEniCS
describes a project that uses: GitHub
MaRDI profile type: Publication
cites work: Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
cites work: An iterative method for solving a complex heat transfer problem
cites work: The unique solvability of a complex 3D heat transfer problem
cites work: Steady-state problem of complex heat transfer
cites work: Stationary free convection problem with radiative heat exchange
cites work: Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer
cites work: A nonstationary problem of complex heat transfer
cites work: Unique solvability of a steady-state complex heat transfer model
cites work: A nonhomogeneous nonstationary complex heat tranfer problem
cites work: Nonstationary problem of free convection with radiative heat transfer
cites work: Boundary optimal control problem of complex heat transfer model
cites work: Optimal boundary control of a steady-state heat transfer model accounting for radiative effects
cites work: Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model
cites work: Nonlocal unique solvability of a steady-state problem of complex heat transfer
cites work: Inhomogeneous steady-state problem of complex heat transfer
cites work: Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions
cites work: Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange
cites work: An inverse problem for a quasi-static approximate model of radiative heat transfer
cites work: Inverse problem for equations of complex heat transfer
cites work: Problem of radiation heat exchange with boundary conditions of the Cauchy type
cites work: Stationary problem of radiative heat transfer with Cauchy boundary conditions
cites work: Global solvability of a nonlinear nonstationary problem with a nonlocal boundary condition of radiative heat transfer type
cites work: Stationary nonlinear nonlocal problem of radiative-conductive heat transfer in a system of opaque bodies with properties depending on the radiation frequency
cites work: Unique solvability of a nonstationary problem of radiative-conductive heat exchange in a system of semitransparent bodies
cites work: Unique solvability of stationary radiative-conductive heat transfer problem in a system of semitransparent bodies
cites work: Asymptotic behavior of a solution to the radiative transfer equation in a multilayered medium with diffuse reflection and refraction conditions
cites work: On a nonstandard boundary value problem arising in homogenization of complex heat transfer problems
cites work: Q3861770
cites work: Q4936365
cites work: Q4194725
cites work: DOLFIN
full work available at URL: s0965542522010092
OpenAlex ID: W4213254793
description: scientific article; zbMATH DE number 7491034