TRANSIENT CONDUCTIVE–RADIATIVE HEAT TRANSFER: DISCRETE EXISTENCE AND UNIQUENESS FOR A FINITE VOLUME SCHEME

DOI10.1142/S0218202505000340zbMath1070.65075OpenAlexW1983870256MaRDI QIDQ4678359

Olaf Klein, Peter Philip

Publication date: 23 May 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202505000340

zbMATH Keywords

maximum principlefinite volume methodnonlinear parabolic equationsheat equationspartial integro-differential equations

Mathematics Subject Classification ID

Related Items (8)

Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals ⋮ Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary \(p\)-summable right-hand side. ⋮ Convergence of a FEM and two-grid algorithms for elliptic problems on disjoint domains ⋮ Existence of weak solutions to the time-dependent MHD equations coupled to the heat equation with nonlocal radiation boundary conditions ⋮ Modelling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth ⋮ Macro- and microsimulations for a sublimation growth of SiC single crystals ⋮ Weak solutions to a stationary heat equation with nonlocal radiation boundary condition and right‐hand side in L^p (p⩾1) ⋮ ON VERTEX RECONSTRUCTIONS FOR CELL-CENTERED FINITE VOLUME APPROXIMATIONS OF 2D ANISOTROPIC DIFFUSION PROBLEMS

Uses Software

• pdelib

Cites Work

• Global modelling of heat transfer in crystal growth furnaces
• Efficient sparse LU factorization with left-right looking strategy on shared memory multiprocessors
• ANALYSIS AND COMPARISON OF TWO APPROXIMATION SCHEMES FOR A RADIATIVE TRANSFER SYSTEM
• A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations in Two Space Dimensions
• A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations
• Conductive-radiative heat transfer in grey materials
• CONVECTIVE AND RADIATIVE THERMAL TRANSFER WITH MULTIPLE REFLECTIONS: ANALYSIS AND APPROXIMATION BY A FINITE ELEMENT METHOD
• Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws

This page was built for publication: TRANSIENT CONDUCTIVE–RADIATIVE HEAT TRANSFER: DISCRETE EXISTENCE AND UNIQUENESS FOR A FINITE VOLUME SCHEME