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Error Estimates for a Pointwise Tracking Optimal Control Problem of a Semilinear Elliptic Equation

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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/mma.2861openalex-snapshot
Numerical analysis for the approximation of optimal control problems with pointwise observations
inferredcites →https://doi.org/10.1007/978-0-387-75934-0openalex-snapshot
The Mathematical Theory of Finite Element Methods
inferredcites →https://doi.org/10.1007/978-1-4612-0981-2openalex-snapshot
Nonlinear Functional Analysis and its Applications
inferredcites →https://doi.org/10.1007/978-1-4612-0985-0openalex-snapshot
Nonlinear Functional Analysis and Its Applications
inferredcites →https://doi.org/10.1007/978-1-4757-4355-5openalex-snapshot
Theory and Practice of Finite Elements
inferredcites →https://doi.org/10.1007/978-3-0348-0513-1openalex-snapshot
Nonlinear Partial Differential Equations with Applications
inferredcites →https://doi.org/10.1007/978-3-319-49631-3_1openalex-snapshot
Optimal Control of Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-88-470-1071-0_16openalex-snapshot
Optimal control of partial differential equations
inferredcites →https://doi.org/10.1007/bf01389461openalex-snapshot
L 2 estimates for the finite element method for the Dirichlet problem with singular data
inferredcites →https://doi.org/10.1007/s00245-020-09693-0openalex-snapshot
Error Estimates for Optimal Control Problems Involving the Stokes System and Dirac Measures
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/s10589-005-4559-5openalex-snapshot
A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case
inferredcites →https://doi.org/10.1016/s0045-7825(99)00242-xopenalex-snapshot
Multifrontal parallel distributed symmetric and unsymmetric solvers
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/2009010openalex-snapshot
Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems
inferredcites →https://doi.org/10.1051/cocv/2013084openalex-snapshot
New regularity results and improved error estimates for optimal control problems with state constraints
inferredcites →https://doi.org/10.1051/cocv:2007063openalex-snapshot
Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints
inferredcites →https://doi.org/10.1090/gsm/112openalex-snapshot
Optimal Control of Partial Differential Equations
inferredcites →https://doi.org/10.1090/mcom/3117openalex-snapshot
On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0431753-xopenalex-snapshot
Interior Maximum Norm Estimates for Finite Element Methods
inferredcites →https://doi.org/10.1090/s0025-5718-1982-0637283-6openalex-snapshot
On the quasi-optimality in 𝐿_{∞} of the 𝐻¹-projection into finite element spaces
inferredcites →https://doi.org/10.1090/surv/162openalex-snapshot
Elliptic Equations in Polyhedral Domains
inferredcites →https://doi.org/10.1093/imanum/drv040openalex-snapshot
Optimal control of elliptic PDEs at points
inferredcites →https://doi.org/10.1093/imanum/drx018openalex-snapshot
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems
inferredcites →https://doi.org/10.1115/1.3424474openalex-snapshot
The Finite Element Method for Elliptic Problems
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/10.1137/060649999openalex-snapshot
Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
inferredcites →https://doi.org/10.1137/1.9780898719451openalex-snapshot
An Introduction to Variational Inequalities and Their Applications
inferredcites →https://doi.org/10.1137/1.9781611972030openalex-snapshot
Elliptic Problems in Nonsmooth Domains
inferredcites →https://doi.org/10.1137/140960645openalex-snapshot
Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation
inferredcites →https://doi.org/10.1137/18m1222363openalex-snapshot
An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations
inferredcites →https://doi.org/10.1137/s0895479899358194openalex-snapshot
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
inferredcites →https://doi.org/10.1155/2012/651390openalex-snapshot
Inverse Problem for a Curved Quantum Guide
inferredcites →https://doi.org/10.2307/2153476openalex-snapshot
Interior Maximum-Norm Estimates for Finite Element Methods, Part II
inferredcites →https://doi.org/10.3934/mcrf.2020038openalex-snapshot
Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions
inferredcites →https://doi.org/10.48550/arxiv.1802.02918openalex-snapshot
Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking
inferredcites →https://doi.org/10.5802/aif.204openalex-snapshot
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.5499625openalex-extracted
A bilinear pointwise tracking optimal control problem for a semilinear elliptic PDE
inferred← citeshttps://doi.org/10.1007/978-3-031-99316-9_11openalex-snapshot
Pointwise Tracking
inferred← citeshttps://doi.org/10.1007/s10915-026-03280-1openalex-snapshot
A $$C^0$$ Weak Galerkin Method with Preconditioning for Constrained Optimal Control Problems with General Tracking
inferred← citeshttps://doi.org/10.1016/j.apnum.2024.08.027openalex-snapshot
Optimal control for Darcy's equation in a heterogeneous porous media
inferred← citeshttps://doi.org/10.1016/j.camwa.2023.11.032openalex-snapshot
C0 interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints
inferred← citeshttps://doi.org/10.1016/j.jde.2025.114073openalex-snapshot
A bilinear pointwise tracking optimal control problem for a semilinear elliptic PDE
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.130343openalex-snapshot
A pointwise tracking optimal control problem for the stationary Navier–Stokes equations
inferred← citeshttps://doi.org/10.1051/cocv/2026027openalex-snapshot
Error estimates for a multiobjective optimal control of a pointwise tracking problem
inferred← citeshttps://doi.org/10.1051/m2an/2024037openalex-snapshot
An exactly divergence-free hybridized discontinuous Galerkin method for the generalized Boussinesq equations with singular heat source
inferred← citeshttps://doi.org/10.31390/gradschool_dissertations.6096openalex-snapshot
Finite Element Methods for Elliptic Optimal Control Problems with General Tracking
inferred← citeshttps://doi.org/10.3934/math.20261217openalex-snapshot
Error estimation of the finite difference and Galerkin spectral for the optimal control problem of time-fractional fourth-order partial differential equations
inferred← citeshttps://doi.org/10.3934/mcrf.2025024openalex-snapshot
Optimal control for the stationary Navier-Stokes equation involving the pressure, stress and their pointwise evaluations
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