Analysis for the space-time a posteriori error estimates for mixed finite element solutions of parabolic optimal control problems

This paper investigates the space-time residual-based a posteriori error bounds of the mixed finite element method for the optimal control problem governed by the parabolic equation in a bounded convex domain. For the spatial discretization of the state and co-state variables, the lowest-order Ravia...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 96; no. 2; pp. 879 - 924
Main Authors:	Shakya, Pratibha, Kumar Sinha, Rajen
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2024 Springer Nature B.V
Subjects:	Algebra Algorithms Approximation Computer Science Discretization Error analysis Estimates Estimators Finite element method Implicit methods Numeric Computing Numerical Analysis Optimal control Original Paper Spacetime Theory of Computation Variables The backward-Euler method 65N15 Mixed finite element method Variational discretization 49J20 A posteriori error estimates Parabolic optimal control problems 65N30
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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