Optimal Control of Partial Differential Equations (Q4637191)

scientific article; zbMATH DE number 6861149

Language	Label	Description	Also known as
English	Optimal Control of Partial Differential Equations	scientific article; zbMATH DE number 6861149

Statements

instance of

scholarly article

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title

Optimal Control of Partial Differential Equations (English)

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published in

Computational Mathematics, Numerical Analysis and Applications

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publication date

18 April 2018

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zbMATH Keywords

optimal control

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partial differential equations

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linear quadratic control

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finite element method

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convergence

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approximations

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-49631-3_1

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cites work

Optimal control in non-convex domains: a priori discretization error estimates

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Error estimates for the numerical approximation of a semilinear elliptic control problem

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Optimal control in coefficients of elliptic equations with state constraints

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Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations

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Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints

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Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems

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Second Order Analysis for Bang-Bang Control Problems of PDEs

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Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations

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Uniform convergence of the FEM applications to state constrained control problems

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Error estimates for the numerical approximation of Neumann control problems

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Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

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Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations

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Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory

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Error estimates for the numerical approximation of boundary semilinear elliptic control prob\-lems

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New regularity results and improved error estimates for optimal control problems with state constraints

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Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations

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Numerical PDE-Constrained Optimization

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Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem

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The Primal-Dual Active Set Strategy as a Semismooth Newton Method

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A variational discretization concept in control constrained optimization: The linear-quadratic case

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Optimization with PDE Constraints

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Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

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A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time

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Superconvergence Properties of Optimal Control Problems

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A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems

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Q5186672

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Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates

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On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*

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Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus

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Identifiers

zbMATH Open document ID

1391.49037

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DOI

10.1007/978-3-319-49631-3_1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4637191