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Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems

https://doi.org/10.1137/s0363012901389342

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Optimal Control of Systems Governed by Partial Differential Equations

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Optimal Shape Design for Elliptic Systems

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Adaptive topology optimization of elastoplastic structures

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Estimateurs a posteriori d'erreur pour le calcul adaptatif d'écoulements quasi-newtoniens

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Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept

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Optimal Control of Systems Governed by Partial Differential Equations.

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Conforming/non-conforming mixed finite element methods for optimal control of velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity

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On the formulation and numerical simulation of distributed-order fractional optimal control problems

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A fuzzy system based active set algorithm for the numerical solution of the optimal control problem governed by partial differential equation

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Fast intersections on nested tetrahedrons (FINT): An algorithm for adaptive finite element based distributed parameter estimation

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Immersed finite elements for optimal control problems of elliptic PDEs with interfaces

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A frequency-dependent p-adaptive technique for spectral methods

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A flux-based moving mesh method applied to solving the Poisson–Nernst–Planck equations

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Conjugate gradient-boundary element solution for distributed elliptic optimal control problems

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Characteristic mixed finite element approximation of transient convection diffusion optimal control problems

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A dual weighted residual method for an optimal control problem of laser surface hardening of steel

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A stabilizer-free weak Galerkin finite element method for an optimal control problem of a time fractional diffusion equation

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A two-layer Crank–Nicolson linear finite element methods for second-order hyperbolic optimal control problems

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Moving Mesh Method with Error-Estimator-Based Monitor and Its Applications to Static Obstacle Problem

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Convergence and regularization results for optimal control problems with sparsity functional

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Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints

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Optimal control and numerical adaptivity for advection–diffusion equations

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Residual based a posteriori error estimation for Dirichlet boundary control problems

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Interpolation coefficients mixed finite element methods for general semilinear Dirichlet boundary elliptic optimal control problems

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A priorianda posteriorierror estimates for the method of lumped masses for parabolic optimal control problems

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L∞-error estimates of higher order mixed finite element approximations for elliptic optimal control problems

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A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems

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Fourier Finite Volume Element Method for Two Classes of Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domain

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Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints

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A new marking strategy for the adaptive finite element approximation of optimal control constrained problems

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A posteriorierror estimates for mixed finite element approximation of nonlinear quadratic optimal control problems

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One-shot methods in function space for PDE-constrained optimal control problems

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Effect of discretization error and adaptive mesh generation in diffuse optical absorption imaging: I

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Effect of discretization error and adaptive mesh generation in diffuse optical absorption imaging: II

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Adaptive finite element methods for the solution of inverse problems in optical tomography

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An adaptive finite element reconstruction of distributed fluxes

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Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization

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Optimal convergence of finite element approximation to an optimization problem with PDE constraint*

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Convergence of an adaptive finite element method for distributed flux reconstruction

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Error bounds for a Dirichlet boundary control problem based on energy spaces

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Superconvergence of mixed finite element methods for optimal control problems

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Two-grid methods of mixed covolume approximations for elliptic optimal control problems

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Convergence and quasi-optimality of an AFEM for the Dirichlet boundary control problem

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A convergent adaptive finite element method for electrical impedance tomography

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A convergent adaptive finite element method for elliptic Dirichlet boundary control problems

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Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem

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Error estimates of variational discretization and mixed finite element methods for quasilinear optimal control problems

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Goal-oriented adaptivity in control constrained optimal control of partial differential equations

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Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography in the Presence of Measurement Noise

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Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography: Part I

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Adaptive mixed finite element methods for nonlinear optimal control problems

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An adaptive finite element algorithm for parabolic optimal control problems

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Error estimates and superconvergence of semidiscrete mixed methods for optimal control problems governed by hyperbolic equations

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A priori error estimates of finite volume method for nonlinear optimal control problem

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Mixed Methods for Optimal Control Problems

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A Priori Error Estimates and Superconvergence of P02–P1 Mixed Finite Element Methods for Elliptic Boundary Control Problems

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A New A Posteriori Error Estimates for Optimal Control Problems Governed by Parabolic Integro-Differential Equations

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Weak Series BV Convergence of a Moving Finite-Element Method for Singular Axisymmetric Harmonic Maps

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Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings

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A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations

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Local A Posteriori Error Estimates for Convex Boundary Control Problems

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Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints

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Goal-Oriented Adaptivity in Control Constrained Optimal Control of Partial Differential Equations

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A Framework for the Adaptive Finite Element Solution of Large-Scale Inverse Problems

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A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations

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The Effect of Anisotropic Mesh Adaptation on PDE-Constrained Optimal Control Problems

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Goal-Oriented Adaptivity in Pointwise State Constrained Optimal Control of Partial Differential Equations

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Multiscale Asymptotic Analysis and Computation of Optimal Control for Elliptic Systems with Constraints

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Analysis of an Adaptive Finite Element Method for Recovering the Robin Coefficient

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Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems

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Convergence and Quasi-Optimality of an Adaptive FEM via INF-SUP Stability for a Dirichlet Boundary Control Problem

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A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations

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SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES OF NONCONFORMING FEM FOR BOUNDARY CONTROL GOVERNED BY STOKES EQUATIONS

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A Numerical Method to Solve Fuzzy Fractional Optimal Control Problems Using Legendre Basis Functions

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Adaptive Mixed Finite Element Methods for Parabolic Optimal Control Problems

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Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations

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Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems

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The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods

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Superconvergence of Semidiscrete Splitting Positive Definite Mixed Finite Elements for Hyperbolic Optimal Control Problems

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Estimating the control error in discretized PDE-constrained optimization

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A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations

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Error analysis of variational discretization solving temperature control problems

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A posteriori error estimates of mixed finite element solutions for fourth order parabolic control problems

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A posteriori error estimates of the lowest order Raviart-Thomas mixed finite element methods for convective diffusion optimal control problems

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A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem

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Convergence and superconvergence of variational discretization for parabolic bilinear optimization problems

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Adaptive variational discretization approximation method for parabolic optimal control problems

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Error estimates of finite volume method for Stokes optimal control problem

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Residual-based a posteriori error estimates for hp finite element solutions of semilinear Neumann boundary optimal control problems

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Full-discrete adaptive FEM for quasi-parabolic integro-differential PDE-constrained optimal control problem

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A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods

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