Error analysis for finite element approximation of parabolic Neumann boundary control problems
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Publication:6150038
DOI10.1016/j.camwa.2024.01.004OpenAlexW4391241490WikidataQ129284066 ScholiaQ129284066MaRDI QIDQ6150038
Publication date: 5 March 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2024.01.004
finite element methodelliptic reconstructionbackward-Euler schemeparabolic boundary control problemaposteriori error estimates
Cites Work
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- On saturation effects in the Neumann boundary control of elliptic optimal control problems
- A posteriori error estimates for optimal distributed control governed by the evolution equations
- Approximation of a class of optimal control problems with order of convergence estimates
- Error estimates for the numerical approximation of boundary semilinear elliptic control prob\-lems
- A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem
- Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems
- Error estimates for the numerical approximation of Neumann control problems
- Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
- A posteriori error estimates for some model boundary control problems
- A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- A posteriori error estimates for optimal control problems governed by parabolic equations
- Error estimates for parabolic optimal control problems with control constraints
- A posteriori error estimates of recovery type for distributed convex optimal control problems
- A Posteriori Error Estimates for Convex Boundary Control Problems
- Recovery Type A Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems
- Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- $L^\infty$-Estimates for Approximated Optimal Control Problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Local A Posteriori Error Estimates for Convex Boundary Control Problems
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- Data Oscillation and Convergence of Adaptive FEM
- A priori and a posteriori error estimates of H1‐Galerkin mixed finite element method for parabolic optimal control problems
- New development in freefem++
- The Mathematical Theory of Finite Element Methods
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- A posteriori error estimates for distributed convex optimal control problems