Nonconforming finite element methods for the constrained optimal control problems governed by nonsmooth elliptic equations
DOI10.1007/s10255-020-0931-6zbMath1436.65181OpenAlexW3015700809MaRDI QIDQ1987597
Publication date: 15 April 2020
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-020-0931-6
nonconforming finite elementoptimal control problemssupercloseness and superconvergencegoal-oriented error estimatenonsmooth elliptic equations
Control/observation systems governed by partial differential equations (93C20) 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) Second-order elliptic equations (35J15) PDEs in connection with control and optimization (35Q93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high accuracy NFEM for constrained optimal control problems governed by elliptic equations
- \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem
- Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems
- Finite element method for constrained optimal control problems governed by nonlinear elliptic PDEs
- Accuracy analysis for Quasi-Carey element
- High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations
- A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
- Finite element method for a nonsmooth elliptic equation
- A low order anisotropic nonconforming characteristic finite element method for a convection-dominated transport problem
- Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes
- Numerical methods for reaction-diffusion problems with non-differentiable kinetics
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- An efficient NFEM for optimal control problems governed by a bilinear state equation
- Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations
- A class of Crouzeix-Raviart type nonconforming finite element methods for parabolic variational inequality problem with moving grid on anisotropic meshes
- Superconvergence of a nonconforming low order finite element
- Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
- Explicit Error Estimates for Mixed and Nonconforming Finite Elements
- Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
- Control of an Elliptic Problem with Pointwise State Constraints
- Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria
- Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints
- The P1mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
- Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
- First Order Conditions for Nonsmooth Discretized Constrained Optimal Control Problems
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- Optimal Control Problems with Partially Polyhedric Constraints
- Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
- NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
This page was built for publication: Nonconforming finite element methods for the constrained optimal control problems governed by nonsmooth elliptic equations
