Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems

DOI10.3934/nhm.2024038MaRDI QIDQ6620426

XianBing Luo, Meiling Ding, Huanhuan Li, Shu-wen Xiang

Publication date: 16 October 2024

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

zbMATH Keywords

optimal controlfinite element methodpriori error estimatessecond order hyperbolic equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Second-order hyperbolic equations (35L10) Integro-partial differential equations (35R09) PDE constrained optimization (numerical aspects) (49M41)

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