A priori error estimates of finite volume element method for hyperbolic optimal control problems
DOI10.1007/s11425-013-4573-5zbMath1264.65179OpenAlexW2265696467MaRDI QIDQ1955500
XianBing Luo, Yunqing Huang, Yanping Chen
Publication date: 11 June 2013
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-013-4573-5
distributed controlfinite volume element methodoptimal control problemsvariational discretizationsecond order hyperbolic equation
Numerical methods based on necessary conditions (49M05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Error bounds for boundary value problems involving PDEs (65N15) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (5)
Cites Work
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem
- On the finite volume element method
- Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems -- strong convergence of optimal controls
- A note on the optimal \(L^2\)-estimate of the finite volume element method
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- A finite volume method based on the Crouzeix-Raviart element for elliptic PDE's in two dimensions
- Error estimates for parabolic optimal control problems with control constraints
- Adaptive finite element methods for optimal control of second order hyperbolic equations
- A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations
- Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
- A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
- Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
- Superconvergence of mixed finite element methods for optimal control problems
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- Finite Element Approximation of Parabolic Time Optimal Control Problems
- Convergence of Finite Element Approximations to State Constrained Convex Parabolic Boundary Control Problems
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- Superconvergence Properties of Optimal Control Problems
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems
- Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes
- The Ritz–Galerkin Procedure for Parabolic Control Problems
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