SUPG-Stabilized Virtual Element Method for Optimal Control Problem Governed by a Convection Dominated Diffusion Equation.
Entropy (Basel)
; 23(6)2021 Jun 05.
Article
en En
| MEDLINE
| ID: mdl-34198952
ABSTRACT
In this paper, the streamline upwind/Petrov Galerkin (SUPG) stabilized virtual element method (VEM) for optimal control problem governed by a convection dominated diffusion equation is investigated. The virtual element discrete scheme is constructed based on the first-optimize-then-discretize strategy and SUPG stabilized virtual element approximation of the state equation and adjoint state equation. An a priori error estimate is derived for both the state, adjoint state, and the control. Numerical experiments are carried out to illustrate the theoretical findings.
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MEDLINE
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En
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Entropy (Basel)
Año:
2021
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Article
País de afiliación:
China