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Adaptive finite element approximation of sparse optimal control problem with integral fractional Laplacian

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Publication:6655878
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DOI10.1007/s10915-024-02739-3MaRDI QIDQ6655878

Zhaojie Zhou, Qi-Ming Wang, Fangyuan Wang

Publication date: 27 December 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)



zbMATH Keywords

optimal controla posteriori error estimatefractional Laplaciansparse controladaptive finite element


Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11)








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