Numerical solution to optimal control problem for a quasi-nonlinear parabolic equation

Huseynov, Saftar Ilyas; Karimova, Sevinj

doi:10.1109/icpci.2012.6486450

2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI) 2012

DOI: 10.1109/icpci.2012.6486450

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Numerical solution to optimal control problem for a quasi-nonlinear parabolic equation

Saftar Ilyas Huseynov

Sevinj Karimova

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Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem

Wang

Cai

et al. 2022

IEEE Access

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We use the fully discrete interpolation coefficient mixed finite element methods to solve the semi-linear parabolic optimal control problems. The space discretization of the state variable is separated using interpolation coefficient mixed finite elements. We approximate the state and the co-state by Raviart-Thomas mixed finite elements on the lowest order, which is approximated by piecewise constant elements. By applying mixed finite element methods to estimate errors, we get a priori error estimate for both the coupled state and the control approximations. We finally confirm the theoretical results numerically by a numerical example.INDEX TERMS priori error estimate; interpolation coefficients; mixed finite element methods; fully discrete; semi-linear parabolic optimal control problem

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Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem

Wang

Cai

et al. 2022

IEEE Access

View full text Add to dashboard Cite

show abstract

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Numerical solution to optimal control problem for a quasi-nonlinear parabolic equation

Cited by 1 publication

References 0 publications

Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem

Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem

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