Reduced-order finite element approximation based on POD for the parabolic optimal control problem

DOI10.1007/s11075-023-01605-xOpenAlexW4384201780MaRDI QIDQ6119845

Junpeng Song, Hong-Xing Rui

Publication date: 20 February 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01605-x

zbMATH Keywords

error estimatesproper orthogonal decompositionparabolic optimal controlcomputational costsaccurate and efficientreduced-order finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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