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Finite elements for an optimal control problem governed by a parabolic equation

✍ Scribed by R. A. Meric

Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
198 KB
Volume
14
Category
Article
ISSN
0029-5981

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πŸ“œ SIMILAR VOLUMES

Finite element methods for an optimal st
Finite element methods for an optimal steady-state control problem
✍ R. A. Meric πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 382 KB πŸ‘ 1 views

An optimal steady-state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical soluti

A finite element collocation method for
A finite element collocation method for the exact control of a parabolic problem
✍ P. J. Harley; A. R. Mitchell πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 402 KB

## Abstract A finite element method is given for the problem of exact control of a linear parabolic equation. The basis functions consist of piecewise bicubic polynomials and the differential equation is satisfied at Gaussian collocation points within each element. The overdetermined system of equa

A posteriori error estimators for optima
A posteriori error estimators for optimal distributed control governed by the first-order linear hyperbolic equation: DG method
✍ Chunguang Xiong; Yuan Li πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 139 KB

In this article, We analyze the h-version of the discontinuous Galerkin finite element method (DGFEM) for the distributed first-order linear hyperbolic optimal control problems. We derive a posteriori error estimators on general finite element meshes which are sharp in the mesh-width h. These error