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Inverse Problems in Engineering Volume 2, 1996 - Issue 3
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Original Articles

Inverse heat conduction problem solutions via second-order design sensitivities and newton's method

Jochen E. Scheuing Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, IL, USA
&
Daniel A. Tortorelli Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, IL, USA
Pages 227-262 | Published online: 24 Oct 2007

Citations (13)

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Read on this site (4)

Huan-Lin Zhou, Xing-Hang Zhao, Bo Yu, Hao-Long Chen & Zeng Meng. (2017) Firefly algorithm combined with Newton method to identify boundary conditions for transient heat conduction problems. Numerical Heat Transfer, Part B: Fundamentals 71:3, pages 253-269.
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A. Haji-Sheikh, S. Ghalambor & D. Agonafer. (2012) Estimation of temperature between plates of different footprints by an iterative approach. Inverse Problems in Science and Engineering 20:6, pages 841-855.
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Elena Palomo Del Barrio. (2003) Multidimensional inverse heat conduction problems solution via lagrange theory and model size reduction techniques . Inverse Problems in Engineering 11:6, pages 515-539.
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K. J. Daun, J. R. Howell & D. P. Morton. (2003) GEOMETRIC OPTIMIZATION OF RADIATIVE ENCLOSURES THROUGH NONLINEAR PROGRAMMING. Numerical Heat Transfer, Part B: Fundamentals 43:3, pages 203-219.
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Articles from other publishers (9)

Julien Berger, Suelen Gasparin, Marx Chhay & Nathan Mendes. (2016) Estimation of temperature-dependent thermal conductivity using proper generalised decomposition for building energy management. Journal of Building Physics 40:3, pages 235-262.
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Hossein Rastgoftar, Mohammad Eghtesad & Alireza Khayatian. (2012) Boundary Control of Temperature Distribution in a Spherical Shell With Spatially Varying Parameters. Journal of Heat Transfer 134:1.
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Hossein Rastgoftar, Mohammad Eghtesad & Alireza Khayatian. (2011) Boundary Control of Temperature Distribution in a Rectangular Functionally Graded Material Plate. Journal of Heat Transfer 133:2.
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J. Y. Kim, N. R. Aluru & D. A. Tortorelli. (2003) Improved multi‐level Newton solvers for fully coupled multi‐physics problems. International Journal for Numerical Methods in Engineering 58:3, pages 463-480.
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Douglas E. Smith. (2003) Design sensitivity analysis and optimization for polymer sheet extrusion and mold filling processes. International Journal for Numerical Methods in Engineering 57:10, pages 1381-1411.
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Daniel A. Tortorelli & Panagiotis Michaleris. (2003) Nonlinear programming in process modeling and design. JOM 55:3, pages 46-54.
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D.E. Smith & D.A. Tortorelli. 2001. Encyclopedia of Materials: Science and Technology. Encyclopedia of Materials: Science and Technology 5733 5743 .
Douglas E. Smith, Daniel A. Tortorelli & Charles L. TuckerIIIIII. (1998) Analysis and sensitivity analysis for polymer injection and compression molding. Computer Methods in Applied Mechanics and Engineering 167:3-4, pages 325-344.
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Gregory A. Dorai & Daniel A. Tortorelli. (1997) Transient inverse heat conduction problem solutions via Newton's method. International Journal of Heat and Mass Transfer 40:17, pages 4115-4127.
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