A priori error estimates and superconvergence of P02-P1 mixed finite element methods for elliptic boundary control problems
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Publication:5048400
DOI10.15372/SJNM20210105zbMath1501.65134OpenAlexW4233786309MaRDI QIDQ5048400
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Publication date: 16 November 2022
Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sjvm765
superconvergenceelliptic equationsa priori error estimatesboundary control problems\(P_0^2-P_1\) mixed finite element methods
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
- Superconvergence for optimal control problems governed by semi-linear elliptic equations
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- A posteriori error estimates for some model boundary control problems
- A splitting positive definite mixed finite element method for elliptic optimal control problem
- Finite element methods for elliptic optimal control problems with boundary observations
- A Posteriori Error Estimates for Convex Boundary Control Problems
- Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs
- Error Estimates of Stochastic Optimal Neumann Boundary Control Problems
- A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair
- $L^\infty$-Estimates for Approximated Optimal Control Problems
- Superconvergence of mixed finite element methods for optimal control problems
- Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
- Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- Finite Element Approximation of Parabolic Time Optimal Control Problems
- Superconvergence Properties of Optimal Control Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- An Extension of Pontryagin’s Principle for State-Constrained Optimal Control of Semilinear Elliptic Equations and Variational Inequalities
- Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
- The Ritz–Galerkin Procedure for Parabolic Control Problems
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