Solving an inverse heat convection problem with an implicit forward operator by using a projected quasi-Newton method

DOI10.1088/1361-6420/abe4a8zbMath1464.80016arXiv2010.01834OpenAlexW3127592648MaRDI QIDQ5859747

Dimitri Rothermel, Thomas Schuster

Publication date: 20 April 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01834

zbMATH Keywords

pseudomonotone operatorscooling process of steel platesenthalpy-dependent heat fluxesimplicit parameter-to-solution relationPQN method with box-constraintsquasilinear inverse heat convection problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Methods of quasi-Newton type (90C53) Optimization problems in thermodynamics and heat transfer (80M50) Inverse problems in thermodynamics and heat transfer (80A23) Second-order parabolic equations (35K10) Numerical solution to inverse problems in abstract spaces (65J22) Quasilinear parabolic equations (35K59) Diffusive and convective heat and mass transfer, heat flow (80A19)

Uses Software

• NNLS
• pchip

Cites Work

• Regularization methods in Banach spaces.
• The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem
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• Tackling Box-Constrained Optimization via a New Projected Quasi-Newton Approach
• Inverse Acoustic and Electromagnetic Scattering Theory
• Convergence and regularity of trust region methods for nonlinear ill-posed inverse problems
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
• Nonlinear partial differential equations with applications
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