Application of scaled nonlinear conjugate-gradient algorithms to the inverse natural convection problem

DOI10.1080/10556788.2011.626778zbMath1269.49060OpenAlexW2074477120MaRDI QIDQ4924109

Bartosz Protas, Jeff C.-F. Wong

Publication date: 30 May 2013

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2011.626778

zbMATH Keywords

mixed finite elementsadjoint variable methodinverse natural convection problemscaled conjugate gradient methodconsistent-splitting method

Mathematics Subject Classification ID

Discrete approximations in optimal control (49M25)

Cites Work

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• Global convergence of nonmonotone descent methods for unconstrained optimization problems
• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
• Adjoint-based optimization of PDE systems with alternative gradients
• A functional optimization formulation and implementation of an inverse natural convection problem
• A new class of truly consistent splitting schemes for incompressible flows
• Scaled conjugate gradient algorithms for unconstrained optimization
• Minimization of functions having Lipschitz continuous first partial derivatives
• Numerical simulation of two‐dimensional laminar mixed‐convection in a lid‐driven cavity using the mixed finite element consistent splitting scheme
• The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
• An inverse heat conduction problem with heat flux measurements
• A scaled nonlinear conjugate gradient algorithm for unconstrained optimization
• Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems
• Two-Point Step Size Gradient Methods
• Algorithm 500: Minimization of Unconstrained Multivariate Functions [E4]
• Conjugate Gradient Methods with Inexact Searches
• On the Convergence of a New Conjugate Gradient Algorithm
• Perspectives in Flow Control and Optimization
• On the solution of an inverse natural convection problem using various conjugate gradient methods
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Mixed finite element formulation of algorithms for double‐diffusive convection in a fluid‐saturated porous medium
• A spectral conjugate gradient method for unconstrained optimization

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