A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators

DOI10.1137/140975061zbMath1331.49038arXiv1406.7460OpenAlexW2963951614MaRDI QIDQ3457096

Enrique Otárola, Harbir Antil

Publication date: 10 December 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7460

zbMATH Keywords

stabilityfinite elementsfractional derivativesweighted Sobolev spacesfractional diffusionanisotropic estimateslinear-quadratic optimal control problem

Mathematics Subject Classification ID

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) Degenerate elliptic equations (35J70) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11)

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Uses Software

• iFEM

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