Sparse optimal control for fractional diffusion

DOI10.1515/cmam-2017-0030zbMath1388.35214arXiv1704.01058OpenAlexW2963799327MaRDI QIDQ1697112

Abner J. Salgado, Enrique Otárola

Publication date: 15 February 2018

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01058

zbMATH Keywords

stabilityfinite elementsweighted Sobolev spacesoptimal control problemfractional diffusionanisotropic estimatessparse controlsnondifferentiable objective

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Degenerate elliptic equations (35J70) 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) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11)

Related Items (12)

Numerical methods for nonlocal and fractional models ⋮ An optimization-based approach to parameter learning for fractional type nonlocal models ⋮ An efficient and accurate numerical method for the fractional optimal control problems with fractional Laplacian and state constraint ⋮ An adaptive finite element method for the sparse optimal control of fractional diffusion ⋮ Numerical methods for fractional diffusion ⋮ Error estimates for fractional semilinear optimal control on Lipschitz polytopes ⋮ Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian ⋮ Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions ⋮ Second-Order Sufficient Conditions in the Sparse Optimal Control of a Phase Field Tumor Growth Model with Logarithmic Potential ⋮ A computational method for solving variable-order fractional nonlinear diffusion-wave equation ⋮ Preface: Numerical analysis of fractional differential equations ⋮ Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis

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