A three-dimensional inverse geometry problem in estimating the space and time-dependent shape of an irregular internal cavity

DOI10.1016/j.ijheatmasstransfer.2008.10.024zbMath1157.80393OpenAlexW2082154955MaRDI QIDQ1009902

Chi-An Chen, Cheng-Hung Huang

Publication date: 3 April 2009

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijheatmasstransfer.2008.10.024

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Sensitivity analysis for optimization problems on manifolds (49Q12)

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Uses Software

• IMSL Numerical Libraries

Cites Work

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• A general method for the solution of inverse heat conduction problems with partially unknown system geometries
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• A transient inverse two-dimensional geometry problem in estimating time-dependent irregular boundary configurations
• An inverse design problem of estimating optimal shape of cooling passages in turbine blades
• Shape design sensitivity analysis via material derivative‐adjoint variable technique for 3‐D and 2‐D curved boundary elements