Interpolation coefficients mixed finite element methods for general semilinear Dirichlet boundary elliptic optimal control problems
DOI10.1080/00036811.2017.1376319zbMath1401.49036OpenAlexW2754576571MaRDI QIDQ4689871
Longzhou Cao, Lin Li, Zuliang Lu
Publication date: 22 October 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1376319
mixed finite element methodsa priori error estimatesinterpolation coefficientssemilinear Dirichlet boundary optimal control problems
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
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Cites Work
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- Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
- A rectangular finite volume element method for a semilinear elliptic equation
- Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem
- Approximation of a class of optimal control problems with order of convergence estimates
- A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems
- Finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations
- Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
- A posteriori error estimates for control problems governed by nonlinear elliptic equations
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- A posteriori error estimates for mixed finite element solutions of convex optimal control problems
- Superconvergence of mixed finite element methods for optimal control problems
- Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
- $L^\infty $-Error Estimates for Mixed Methods for Semilinear Second-Order Elliptic Equations
- Interpolation of coefficients and transformation of the dependent variable in finite element methods for the non-linear heat equation
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- Mixed and Hybrid Finite Element Methods
- Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
- A Posteriori Error Estimates of Lowest Order Raviart-Thomas Mixed Finite Element Methods for Bilinear Optimal Control Problems
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