Inverse heat transfer analysis for design and control of a micro-heater array

DOI10.1080/17415977.2016.1240791zbMath1394.80013OpenAlexW2527914426MaRDI QIDQ4637989

Yixuan Tan, Antoinette M. Maniatty, Chengjian Zheng, John Ting-Yung Wen

Publication date: 3 May 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2016.1240791

zbMATH Keywords

finite element methodTikhonov regularizationinverse heat source problemmicro-heater arraypassivity feedback control

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Feedback control (93B52) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Inverse problems in thermodynamics and heat transfer (80A23) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

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• A parameter estimation approach to solve the inverse problem of point heat sources identification
• The determination of two moving heat sources in two-dimensional inverse heat problem
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• A computational method for identifying a spacewise-dependent heat source
• Dynamic data‐driven finite element models for laser treatment of cancer
• Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback

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