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Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls

https://doi.org/10.1007/bf01189480
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Outgoing claims: the papers this work cites, builds on, or argues with.

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On Convergence of Semidiscrete Ritz‐Galerkin Schemes Applied to the Boundary Control of Parabolic Equations with Non‐Linear Boundary Condition
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Semidiscrete Finite Element Approximation of Parabolic Boundary Control Problems — Convergence of Switching Points
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A unified theory of necessary conditions for nonlinear nonconvex control systems
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Boundary control of parabolic systems: Finite-element approximation
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Unified theory for abstract parabolic boundary problems?a semigroup approach
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Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
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On the approximation of infinite optimization problems with an application to optimal control problems
inferredcites →https://doi.org/10.1007/bfb0006156openalex-snapshot
Dirichlet boundary control problems for parabolic equations with quadratic cost: Analyticity and riccati's feedback synthesis
inferredcites →https://doi.org/10.1007/bfb0043215openalex-snapshot
Optimal control problems for distributed parameter systems governed by semilinear parabolic equations in l1 and l∞ spaces
inferredcites →https://doi.org/10.1007/bfb0120927openalex-snapshot
First and second order sufficient optimality conditions in mathematical programming and optimal control
inferredcites →https://doi.org/10.1016/0022-0396(88)90156-8openalex-snapshot
Parabolic evolution equations and nonlinear boundary conditions
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7014-6openalex-snapshot
The Finite Element Method for Elliptic Problems
inferredcites →https://doi.org/10.1080/02331938908843489openalex-snapshot
Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control
inferredcites →https://doi.org/10.1080/02331939108843647openalex-snapshot
Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal control
inferredcites →https://doi.org/10.1115/1.3424474openalex-snapshot
The Finite Element Method for Elliptic Problems
inferredcites →https://doi.org/10.1137/0317021openalex-snapshot
Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
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Finite Element Approximation of Parabolic Time Optimal Control Problems
inferredcites →https://doi.org/10.1137/0321003openalex-snapshot
Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
inferredcites →https://doi.org/10.1137/0327038openalex-snapshot
Convergence of Finite Element Approximations to State Constrained Convex Parabolic Boundary Control Problems
inferredcites →https://doi.org/10.1137/0331045openalex-snapshot
Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems
inferredcites →https://doi.org/10.1137/0714015openalex-snapshot
Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
inferredcites →https://doi.org/10.2307/2008082openalex-snapshot
Galerkin Approximations of Abstract Parabolic Boundary Value Problems With Rough Boundary Data-L p Theory

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Galerkin method for optimal control of second‐order evolution equations
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Error estimates of mixed methods for optimal control problems governed by parabolic equations
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Error estimates of expanded mixed methods for optimal control problems governed by hyperbolic integro‐differential equations
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Some error estimates of finite volume element method for parabolic optimal control problems
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On Numerical Problems Caused by Discontinuities in Controls
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Semidiscrete Ritz-Galerkin Approximation of Nonlinear Parabolic Boundary Control Problems
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Theoretical and Numerical Aspects of Controlled Cooling of Steel Profiles
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Progressively Refining Discrete Gradient Projection Method for Semilinear Parabolic Optimal Control Problems
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Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem
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Moving Mesh Finite Element Methods for an Optimal Control Problem for the Advection-Diffusion Equation
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Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems
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A priori error estimates of finite volume element method for hyperbolic optimal control problems
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Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE
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A posteriori error estimates for some model boundary control problems
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A Posteriori Error Estimates for Distributed Convex Optimal Control Problems
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Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem
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Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's
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Error Estimates for Discontinuous Galerkin Time-Stepping Schemes for Robin Boundary Control Problems Constrained to Parabolic PDEs
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