scientific article; zbMATH DE number 7524469

zbMath1490.93128MaRDI QIDQ5074960

Liuhong Chen, Ju Ming, Meixin Xiong

Publication date: 10 May 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/20479.html

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zbMATH Keywords

Lagrange multiplier methodMonte Carlo finite element methodreduced approachSPDEs-constrained optimization problems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimal stochastic control (93E20) PDEs with randomness, stochastic partial differential equations (35R60)

Uses Software

• COMSOL

Cites Work

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• A Stochastic Quasi-Newton Method for Large-Scale Optimization
• Solving optimal control problems for the unsteady Burgers equation in COMSOL multiphysics
• An implicit/explicit spectral method for Burgers' equation
• Boundary feedback control of the Burgers equations by a reduced-order approach using centroidal Voronoi tessellations
• Numerical approximation for a time optimal control problems governed by semi-linear heat equations
• Adjoint concepts for the optimal control of Burgers equation
• Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment
• An efficient Monte Carlo method for optimal control problems with uncertainty
• Preconditioning optimal control of the unsteady Burgers equations with \(H_1\) regularized term
• Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
• Analysis, approximation, and computation of a coupled solid/fluid temperature control problem
• Investigation of commutative properties of discontinuous Galerkin methods in PDE constrained optimal control problems
• Non-commutative discretize-then-optimize algorithms for elliptic PDE-constrained optimal control problems
• An all-at-once approach for the optimal control of the unsteady Burgers equation
• Semidiscrete Galerkin approximation for a linear stochastic parabolic partial differential equation driven by an additive noise
• A penalty method for PDE-constrained optimization in inverse problems
• A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty
• Optimal Solvers for PDE-Constrained Optimization
• On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems
• Optimal Control of Stochastic Flow over a Backward-Facing Step Using Reduced-Order Modeling
• Feedback control for unsteady flow and its application to the stochastic Burgers equation
• Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
• Analysis of block matrix preconditioners for elliptic optimal control problems
• Optimization with PDE Constraints
• A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
• Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems
• Control of the Stochastic Burgers Model of Turbulence
• Dynamics and Approximations of a Velocity Tracking Problem for the Navier--Stokes Flows with Piecewise Distributed Controls
• Finite element and difference approximation of some linear stochastic partial differential equations
• Optimal Control of PDEs under Uncertainty
• Stochastic finite element methods for partial differential equations with random input data
• Newton's Method for Large Bound-Constrained Optimization Problems
• Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
• Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
• Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints
• Distributed Control of the Stochastic Burgers Equation with Random Input Data
• Some error estimates of finite volume element method for parabolic optimal control problems
• Distributed control problems for the Burgers equation

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