A priori error estimates and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems
DOI10.15372/SJNM20200102zbMath1501.65133OpenAlexW4246930487MaRDI QIDQ5048130
No author found.
Publication date: 15 November 2022
Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sjvm730
superconvergencea priori error estimatesoptimal control problemssplitting positive definite mixed finite element methodspseudo-hyperbolic integro-differential equations
Control/observation systems governed by partial differential equations (93C20) Integro-partial differential equations (45K05) 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) Existence theories for optimal control problems involving partial differential equations (49J20) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence for optimal control problems governed by semi-linear elliptic equations
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations
- New elliptic projections and a priori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations
- Finite element methods for optimal control problems governed by integral equations and integro-differential equations
- A splitting positive definite mixed finite element method for elliptic optimal control problem
- A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media
- Error estimates of expanded mixed methods for optimal control problems governed by hyperbolic integro-differential equations
- Superconvergence of fully discrete splitting positive definite mixed FEM for hyperbolic equations
- Splitting positive definite mixed element methods for pseudo-hyperbolic equations
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Superconvergence of mixed finite element methods for optimal control problems
- Superconvergence of quadratic optimal control problems by triangular mixed finite element methods
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- A splitting positive definite mixed element method for second‐order hyperbolic equations
- Mixed and Hybrid Finite Element Methods
- Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
- Superconvergence Properties of Optimal Control Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations
This page was built for publication: A priori error estimates and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems