Optimal Dirichlet control of partial differential equations on networks
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Publication:822679
DOI10.1553/etna_vol54s392zbMath1473.49002arXiv1907.07806OpenAlexW3170313257WikidataQ115235359 ScholiaQ115235359MaRDI QIDQ822679
Publication date: 23 September 2021
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07806
Small world graphs, complex networks (graph-theoretic aspects) (05C82) Deterministic network models in operations research (90B10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Cites Work
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- The Little Engine that Could: Regularization by Denoising (RED)
- Averaged kinetic models for flows on unstructured networks
- Efficient numerical methods for gas network modeling and simulation
- Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
- On the spectra of carbon nano-structures
- Modeling, analysis and control of dynamic elastic multi-link structures
- Adjoint-based error control for the simulation and optimization of gas and water supply networks
- Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes
- Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy
- Clustering approach to model order reduction of power networks with distributed controllers
- An energy space finite element approach for elliptic Dirichlet boundary control problems
- Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization
- Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs
- Semigroup methods for evolution equations on networks
- Fast iterative solvers for convection-diffusion control problems
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
- A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
- Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems
- Preconditioning discretizations of systems of partial differential equations
- One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem
- Flow control in gas networks: Exact controllability to a given demand
- Optimal Solvers for PDE-Constrained Optimization
- Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
- Block-triangular preconditioners for PDE-constrained optimization
- Nonstandard Norms and Robust Estimates for Saddle Point Problems
- Real-Time Control of Urban Drainage Systems
- Numerical solution of saddle point problems
- Lagrange Multiplier Approach to Variational Problems and Applications
- Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
- Optimization with PDE Constraints
- Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
- A new model for gas flow in pipe networks
- Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Solution of Sparse Indefinite Systems of Linear Equations
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- A Note on Preconditioning for Indefinite Linear Systems
- A finite element method for quantum graphs
- Preconditioning for partial differential equation constrained optimization with control constraints
- Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems
- Saddle-Point Problems and Their Iterative Solution
- A Hybrid Discontinuous Galerkin Method for Transport Equations on Networks
- Chemotaxis on networks: Analysis and numerical approximation
- Finite Element Error Estimates for Normal Derivatives on Boundary Concentrated Meshes
- A convection-diffusion problem in a network.
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