Two-grid methods of finite element approximation for parabolic integro-differential optimal control problems
DOI10.3934/era.2023247MaRDI QIDQ6153138
Publication date: 13 February 2024
Published in: Electronic Research Archive (Search for Journal in Brave)
finite element methodssuperconvergencea priori error estimatesparabolic integro-differential equationstwo-grid
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Optimality conditions for problems involving partial differential equations (49K20) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25) Integro-partial differential equations (35R09)
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