Radiative Heat Transfer and Applications for Glass Production Processes II

DOI10.1007/978-3-642-15967-1_3zbMath1226.80023OpenAlexW198258475MaRDI QIDQ2999890

Norbert Siedow

Publication date: 18 May 2011

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15967-1_3

zbMATH Keywords

inverse problemradiative heat transferglassfast numerical methodRosseland approximationsemitransparent materialTichonov regularizationformal solution approximationimproved diffusion approximation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Inverse problems for PDEs (35R30) Volterra integral equations (45D05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Cites Work

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• Numerical solution of a Cauchy problem for the Laplace equation
• Regularized fixed-point iterations for nonlinear inverse problems
• Initial temperature reconstruction for nonlinear heat equation: application to a coupled radiative–conductive heat transfer problem
• Mathematical Modeling

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