Sensitivity analysis approach for reduced-order approximations of optimal control problems governed by Burgers equation

DOI10.1002/oca.2230zbMath1353.49043OpenAlexW2201749907MaRDI QIDQ2835498

Tuğba Akman

Publication date: 5 December 2016

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2230

zbMATH Keywords

sensitivity analysisproper orthogonal decompositionBurgers equationoptimal control problemdiscrete empirical interpolation method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Unnamed Item
• Reduced-order models for parameter dependent geometries based on shape sensitivity analysis
• Adjoint concepts for the optimal control of Burgers equation
• Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition
• Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation
• Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
• A comparison of algorithms for control constrained optimal control of the Burgers equation
• Numerical Analysis of POD A-posteriori Error Estimation for Optimal Control
• On the use of sensitivity analysis in model reduction to predict flows for varying inflow conditions
• Discrete Empirical Interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks
• Model Order Reduction for PDE Constrained Optimization
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• The SQP method for control constrained optimal control of the Burgers equation
• Asymptotic-Numerical Study of Supersensitivity for Generalized Burgers' Equations
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition
• Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities
• Comparison of the reduced-basis and PODa posteriorierror estimators for an elliptic linear-quadratic optimal control problem
• Distributed control problems for the Burgers equation