A mass-conservative characteristic FE scheme for optimal control problems governed by convection-diffusion equations

DOI10.1016/j.cma.2012.05.019zbMath1353.49041OpenAlexW2032251530MaRDI QIDQ503294

Hongfei Fu, Hong-Xing Rui

Publication date: 12 January 2017

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.05.019

zbMATH Keywords

convection-diffusion equationsoptimal control problems\textit{a priori} error estimatesmass-conservative characteristic finite element

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

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A reduced-order characteristic finite element method based on POD for optimal control problem governed by convection-diffusion equation ⋮ An interpolation method for the optimal control problem governed by the elliptic convection–diffusion equation

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