Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems (Q6088401)

scientific article; zbMATH DE number 7777654

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English	Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems	scientific article; zbMATH DE number 7777654

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instance of

scholarly article

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title

Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems (English)

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Numerical Methods for Partial Differential Equations

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publication date

14 December 2023

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zbMATH Keywords

nonconforming $EQ_1^{rot}$ element

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semilinear OCPs

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supercloseness and superconvergence

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22479

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cites work

Q4300595

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

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Approximation of a class of optimal control problems with order of convergence estimates

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Control of an Elliptic Problem with Pointwise State Constraints

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Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls

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Superconvergence of mixed finite element methods for optimal control problems

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Robust error estimates for the finite element approximation of elliptic optimal control problems

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A Posteriori Error Estimates for Control Problems Governed by Stokes Equations

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Adaptive finite element method for elliptic optimal control problems: convergence and optimality

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A convergent adaptive finite element method for elliptic Dirichlet boundary control problems

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Error estimates for the numerical approximation of a semilinear elliptic control problem

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A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems

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A Multilevel Correction Method for Optimal Controls of Elliptic Equations

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

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NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE

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Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation

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Q5866757

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Crouzeix-Raviart type finite elements on anisotropic meshes

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Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems

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Superconvergence of a nonconforming low order finite element

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Q3023724

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Q3424473

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A class of Crouzeix-Raviart type nonconforming finite element methods for parabolic variational inequality problem with moving grid on anisotropic meshes

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Anisotropic nonconforming $EQ_1^{rot}$ quadrilateral finite element approximation to second-order elliptic problems

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Unconditional superconvergence analysis for nonlinear parabolic equation with $EQ_1^{rot}$ nonconforming finite element

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Superconvergence analysis for nonlinear parabolic equation with $EQ_1^{\mathrm{rot}}$ nonconforming finite element

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A high accuracy NFEM for constrained optimal control problems governed by elliptic equations

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High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations

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A nonconforming finite element method for constrained optimal control problems governed by parabolic equations

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Identifiers

Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6088401