Local a posteriori error estimates for boundary control problems governed by nonlinear parabolic equations
DOI10.1016/j.cam.2022.114146zbMath1503.49029OpenAlexW4210935019MaRDI QIDQ2114419
Ram P. Manohar, Rajen Kumar Sinha
Publication date: 15 March 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114146
finite element methodbackward-Euler schemenonlinear parabolic partial differential equationslocal a posteriori error estimatesNeumann boundary control problem
Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
- A posteriori error estimates for optimal distributed control governed by the evolution equations
- Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem
- A posteriori error estimates for some model boundary control problems
- \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem
- A posteriori error estimates for optimal control problems governed by parabolic equations
- Adaptive fully-discrete finite element methods for nonlinear quadratic parabolic boundary optimal control
- Linear and quasilinear elliptic equations
- A Posteriori Error Estimates for Convex Boundary Control Problems
- A posteriorierror estimation for semilinear parabolic optimal control problems with application to model reduction by POD
- 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
- Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Local A Posteriori Error Estimates for Convex Boundary Control Problems
- Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
- Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- New development in freefem++
- Local and parallel finite element algorithms based on two-grid discretizations
- Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations
- Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
