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A posteriori error estimates for semilinear optimal control problems

https://doi.org/10.1051/m2an/2021033

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What this work says

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

inferredcites →https://doi.org/10.1002/9781118032824openalex-snapshot

A Posteriori Error Estimation in Finite Element Analysis

inferredcites →https://doi.org/10.1006/jfan.1995.1067openalex-snapshot

The Inhomogeneous Dirichlet Problem in Lipschitz Domains

inferredcites →https://doi.org/10.1006/jfan.1997.3158openalex-snapshot

Regularity Results for Elliptic Equations in Lipschitz Domains

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Theoretical Numerical Analysis: A Functional Analysis Framework

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The Mathematical Theory of Finite Element Methods

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Perturbation Analysis of Optimization Problems

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Nonlinear Partial Differential Equations with Applications

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Optimal Control of Partial Differential Equations

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Primer of Adaptive Finite Element Methods

inferredcites →https://doi.org/10.1007/s10444-004-4142-0openalex-snapshot

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

inferredcites →https://doi.org/10.1007/s10589-005-2180-2openalex-snapshot

Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems

inferredcites →https://doi.org/10.1007/s10589-008-9200-yopenalex-snapshot

A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints

inferredcites →https://doi.org/10.1016/s0045-7825(96)01107-3openalex-snapshot

A posteriori error estimation in finite element analysis

inferredcites →https://doi.org/10.1016/s0045-7825(99)00242-xopenalex-snapshot

Multifrontal parallel distributed symmetric and unsymmetric solvers

inferredcites →https://doi.org/10.1016/s0168-2024(08)x7014-6openalex-snapshot

The Finite Element Method for Elliptic Problems

inferredcites →https://doi.org/10.1016/s0168-9274(03)00054-0openalex-snapshot

A posteriori error estimates for control problems governed by nonlinear elliptic equations

inferredcites →https://doi.org/10.1023/a:1014239012739openalex-snapshot

A Posteriori Error Estimates for Distributed Convex Optimal Control Problems

inferredcites →https://doi.org/10.1023/a:1020576801966openalex-snapshot

Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem

inferredcites →https://doi.org/10.1051/cocv/2010027openalex-snapshot

Convergence and regularization results for optimal control problems with sparsity functional

inferredcites →https://doi.org/10.1051/cocv:2007057openalex-snapshot

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

inferredcites →https://doi.org/10.1090/gsm/112openalex-snapshot

Optimal Control of Partial Differential Equations

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A Posteriori Error Estimation Techniques for Finite Element Methods

inferredcites →https://doi.org/10.1093/imanum/drz025openalex-snapshot

Adaptive finite element methods for sparse PDE-constrained optimization

inferredcites →https://doi.org/10.1137/050626600openalex-snapshot

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

inferredcites →https://doi.org/10.1137/070683416openalex-snapshot

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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An Introduction to Variational Inequalities and Their Applications

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Elliptic Problems in Nonsmooth Domains

inferredcites →https://doi.org/10.1137/110834366openalex-snapshot

Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with $L^1$ Cost Functional

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

inferredcites →https://doi.org/10.1137/130909251openalex-snapshot

A Posteriori Error Analysis of Optimal Control Problems with Control Constraints

inferredcites →https://doi.org/10.1137/s0363012999351097openalex-snapshot

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

inferredcites →https://doi.org/10.1137/s0895479899358194openalex-snapshot

A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling

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Inverse Problem for a Curved Quantum Guide

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

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4682811openalex-extracted

inferred← citeshttps://doi.org/10.1007/s10444-026-10370-zopenalex-snapshot

HDG methods for the semilinear elliptic optimal control problem: a priori and a posteriori error estimates

inferred← citeshttps://doi.org/10.1007/s10915-026-03263-2openalex-snapshot

Adaptive Finite Element Approximation of Semilinear Fractional Optimal Control Problem

inferred← citeshttps://doi.org/10.1016/j.camwa.2024.06.030openalex-snapshot

Virtual element method for semilinear elliptic Neumann boundary optimal control problem

inferred← citeshttps://doi.org/10.32620/reks.2024.2.09openalex-snapshot

The method of determining optimal control of the thermoelastic state of piece-homogeneous body using a stationary temperature field

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