The adjoint method coupled with the modal identification method for nonlinear model reduction

DOI10.1080/17415970500205874zbMath1194.80098OpenAlexW2066534573MaRDI QIDQ3588273

Daniel Petit, Yann Favennec, Manuel Girault

Publication date: 10 September 2010

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

Full work available at URL: https://doi.org/10.1080/17415970500205874

zbMATH Keywords

reduced modelinverse heat conduction problemadjoint methodsmodal identification method

Mathematics Subject Classification ID

Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (4)

Estimation of time-varying heat sources through inversion of a low order model built with the modal identification method from in-situ temperature measurements ⋮ On the use of reduced models obtained through identification for feedback optimal control problems in a heat convection-diffusion problem ⋮ Numerical model reduction of 2D steady incompressible laminar flows: Application on the flow over a backward-facing step ⋮ Reduced modelling through identification on 2D incompressible laminar flows

Cites Work

• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
• Induction heating processes optimization: A general optimal control approach
• Resolution of linear inverse forced convection problems using model reduction by the modal identification method: application to turbulent flow in parallel-plate duct
• Identification methods in nonlinear heat conduction. I: Model reduction
• Identification methods in nonlinear heat conduction. II: Inverse problem using a reduced model
• The ultraweak time coupling in non-linear multiphysics modelling and related optimization problems
• Tangent operators and design sensitivity formulations for transient non‐linear coupled problems with applications to elastoplasticity
• A numerical model for induction heating processes coupling electromagnetism and thermomechanics
• Model reduction for the resolution of multidimensional inverse heat conduction problem

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