On the public citation graph

On the approximation of infinite optimization problems with an application to optimal control problems

https://doi.org/10.1007/bf01449031
0 signed · 66 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/bf00933141openalex-snapshot
Convergence of the control parameterization Ritz method for nonlinear optimal control problems
inferredcites →https://doi.org/10.1007/bf01582096openalex-snapshot
First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
inferredcites →https://doi.org/10.1007/bfb0006504openalex-snapshot
Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
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/s0076-5392(08)x6004-7openalex-snapshot
Functional Analysis and Time Optimal Control
inferredcites →https://doi.org/10.1137/0710011openalex-snapshot
The Ritz–Galerkin Procedure for Nonlinear Control Problems
inferredcites →https://doi.org/10.1137/0712063openalex-snapshot
The Ritz–Trefftz Method for State and Control Constrained Optimal Control Problems
inferredcites →https://doi.org/10.1137/0713043openalex-snapshot
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems

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.4650750openalex-extracted
Using Legendre Spectral Element Method with Split Bregman Method for Solving Optimal Control Problem with Elliptic Partial Differential Equation Constraint
inferred← citeshttps://doi.org/10.1002/nme.2289openalex-snapshot
Error estimates of mixed methods for optimal control problems governed by parabolic equations
inferred← citeshttps://doi.org/10.1007/978-1-4613-8489-2_3openalex-snapshot
Discrete Approximations in Optimal Control
inferred← citeshttps://doi.org/10.1007/978-3-030-29693-3_2openalex-snapshot
From Functional Optimization to Nonlinear Programming by the Extended Ritz Method
inferred← citeshttps://doi.org/10.1007/978-3-030-29693-3_3openalex-snapshot
Some Families of FSP Functions and Their Properties
inferred← citeshttps://doi.org/10.1007/978-3-0348-6253-0_1openalex-snapshot
A Ritz Method for the Numerical Solution of a Class of State Constrained Control Approximation Problems
inferred← citeshttps://doi.org/10.1007/978-3-0348-7539-4_5openalex-snapshot
Semidiscrete Ritz-Galerkin Approximation of Nonlinear Parabolic Boundary Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-0348-8233-0_12openalex-snapshot
Recent Advances in Mesh Adaptivity for Optimal Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-48417-9_95openalex-snapshot
The Urban Macro-Economic Model System
inferred← citeshttps://doi.org/10.1007/bf01189480openalex-snapshot
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls
inferred← citeshttps://doi.org/10.1007/bf01442186openalex-snapshot
Stability and sensitivity of solutions to optimal control problems for systems with control appearing linearly
inferred← citeshttps://doi.org/10.1007/bf01445157openalex-snapshot
Stability of solutions to control constrained nonlinear optimal control problems
inferred← citeshttps://doi.org/10.1007/bfb0008394openalex-snapshot
Semigroup methods and approximation of nonlinear parabolic boundary control problems
inferred← citeshttps://doi.org/10.1007/bfb0035462openalex-snapshot
Stability and sensitivity analysis of solutions to infinite-dimensional optimization problems
inferred← citeshttps://doi.org/10.1007/bfb0043217openalex-snapshot
Second order optimality conditions for nonlinear parabolic boundary control problems
inferred← citeshttps://doi.org/10.1007/s00211-005-0608-3openalex-snapshot
Finite element methods for optimal control problems governed by integral equations and integro-differential equations
inferred← citeshttps://doi.org/10.1007/s10492-009-0017-5openalex-snapshot
Superconvergence analysis and a posteriori error estimation of a finite element method for an optimal control problem governed by integral equations
inferred← citeshttps://doi.org/10.1007/s10589-007-9063-7openalex-snapshot
The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
inferred← citeshttps://doi.org/10.1007/s10589-007-9098-9openalex-snapshot
Convergence rates for direct transcription of optimal control problems using collocation at Radau points
inferred← citeshttps://doi.org/10.1007/s10589-011-9453-8openalex-snapshot
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem
inferred← citeshttps://doi.org/10.1007/s10589-017-9969-7openalex-snapshot
Euler discretization for a class of nonlinear optimal control problems with control appearing linearly
inferred← citeshttps://doi.org/10.1007/s10915-008-9258-9openalex-snapshot
Superconvergence for Optimal Control Problems Governed by Semi-linear Elliptic Equations
inferred← citeshttps://doi.org/10.1007/s10915-009-9327-8openalex-snapshot
Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems
inferred← citeshttps://doi.org/10.1007/s10957-010-9680-7openalex-snapshot
Suboptimal Solutions to Dynamic Optimization Problems via Approximations of the Policy Functions
inferred← citeshttps://doi.org/10.1007/s10957-015-0804-yopenalex-snapshot
On the Curse of Dimensionality in the Ritz Method
inferred← citeshttps://doi.org/10.1007/s11424-013-1166-xopenalex-snapshot
Variational discretization for optimal control problems governed by parabolic equations
inferred← citeshttps://doi.org/10.1007/s40819-022-01454-7openalex-snapshot
On Approximate Solution of Optimal Control Problems by Parabolic Equations
inferred← citeshttps://doi.org/10.1016/j.cam.2009.09.018openalex-snapshot
Error estimates of mixed finite element methods for quadratic optimal control problems
inferred← citeshttps://doi.org/10.1016/j.cma.2018.05.036openalex-snapshot
A posteriori error estimators for stabilized finite element approximations of an optimal control problem
inferred← citeshttps://doi.org/10.1016/j.jprocont.2011.11.002openalex-snapshot
How to verify optimal controls computed by direct shooting methods? – A tutorial
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00308-3openalex-snapshot
A posteriori error estimates for some model boundary control problems
inferred← citeshttps://doi.org/10.1051/m2an/2009045openalex-snapshot
Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space
inferred← citeshttps://doi.org/10.1080/01630563.2013.871866openalex-snapshot
Superconvergence for Optimal Control Problem Governed by Nonlinear Elliptic Equations
inferred← citeshttps://doi.org/10.1080/01630563.2023.2192776openalex-snapshot
Accuracy Estimates for Bilinear Optimal Control Problems Governed by Ordinary Differential Equations
inferred← citeshttps://doi.org/10.1080/01630569608816739openalex-snapshot
Error estimates for the discretization of state constrained convex control problems
inferred← citeshttps://doi.org/10.1080/02331939108843647openalex-snapshot
Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal control
inferred← citeshttps://doi.org/10.1109/tac.2022.3201026openalex-snapshot
A Warm-Start Strategy in Interior Point Methods for Shrinking Horizon Model Predictive Control With Variable Discretization Step
inferred← citeshttps://doi.org/10.1137/s0036142999352187openalex-snapshot
A Posteriori Error Estimates for Convex Boundary Control Problems
inferred← citeshttps://doi.org/10.1137/s036301299426948xopenalex-snapshot
An a Priori Estimate for Discrete Approximations in Nonlinear Optimal Control
inferred← citeshttps://doi.org/10.1137/s0363012997324910openalex-snapshot
Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
inferred← citeshttps://doi.org/10.1137/s1052623403426507openalex-snapshot
Error Estimates for Approximate Optimization by the Extended Ritz Method
inferred← citeshttps://doi.org/10.1155/2012/481295openalex-snapshot
A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes
inferred← citeshttps://doi.org/10.1155/2012/808514openalex-snapshot
Adaptive Finite Element Method for Optimal Control Problem Governed by Linear Quasiparabolic Integrodifferential Equations
inferred← citeshttps://doi.org/10.1155/2014/579047openalex-snapshot
Superconvergence for General Convex Optimal Control Problems Governed by Semilinear Parabolic Equations
inferred← citeshttps://doi.org/10.1186/s13661-014-0173-8openalex-snapshot
Optimal control problem governed by a linear hyperbolic integro-differential equation and its finite element analysis
inferred← citeshttps://doi.org/10.1186/s13661-016-0626-3openalex-snapshot
Full-discrete adaptive FEM for quasi-parabolic integro-differential PDE-constrained optimal control problem
inferred← citeshttps://doi.org/10.22541/au.170667443.33339379/v1openalex-snapshot
A sharp error analysis for the discontinuous Galerkin method of optimal control problems
inferred← citeshttps://doi.org/10.37622/ijde/15.1.2020.11-29openalex-snapshot
Finite Element and Split Bregman Methods for Solving a Family of Optimal Control Problem with Partial Differential Equation Constraint
inferred← citeshttps://doi.org/10.3934/math.2022506openalex-snapshot
A sharp error analysis for the DG method of optimal control problems
inferred← citeshttps://doi.org/10.3934/math.2022962openalex-snapshot
Multipoint flux mixed finite element method for parabolic optimal control problems
inferred← citeshttps://doi.org/10.3934/naco.2012.2.547openalex-snapshot
Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions
inferred← citeshttps://doi.org/10.4134/jkms.2012.49.3.549openalex-snapshot
RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF MIXED FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS
inferred← citeshttps://doi.org/10.4171/zaa/1351openalex-snapshot
Error Estimates for the Regularization of Optimal Control Problems with Pointwise Control and State Constraints
inferred← citeshttps://doi.org/10.4208/aamm.10-m1006openalex-snapshot
Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations
inferred← citeshttps://doi.org/10.4208/aamm.2012.m30openalex-snapshot
A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems
inferred← citeshttps://doi.org/10.4208/ijnam.v5.n3.p441openalex-snapshot
$L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods
inferred← citeshttps://doi.org/10.4274/e-cvsi.2026.2026-3-5openalex-snapshot
Limitations of risk stratification in CABG: Calibration across elective and emergency cohorts at a regional center
inferred← citeshttps://doi.org/10.5269/bspm.67883openalex-snapshot
A new approximation method for PDE constraint optimal control problem solutions
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.