Fractional PDE constrained optimization: an optimize-then-discretize approach with L-BFGS and approximate inverse preconditioning

DOI10.1016/j.apnum.2017.09.001zbMath1377.65070OpenAlexW2751293439MaRDI QIDQ1675494

Stefano Cipolla, Fabio Durastante

Publication date: 27 October 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.09.001

zbMATH Keywords

constrained optimizationnumerical experimentsfractional differential equationfractional advection dispersion equationKrylov subspace solverapproximate inverse preconditionersL-BFGS methodsemilinear Riesz space fractional diffusion equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Preconditioners for iterative methods (65F08)

Related Items

Spectral Analysis of Saddle-point Matrices from Optimization problems with Elliptic PDE Constraints, Topology optimization for steady-state anisothermal flow targeting solids with piecewise constant thermal diffusivity, Optimal control problem of the two-dimensional modified anomalous subdiffusion equation with discontinuous Galerkin approximation, Efficient Preconditioner Updates for Semilinear Space–Time Fractional Reaction–Diffusion Equations, Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations, A variation of Broyden class methods using Householder adaptive transforms

Uses Software

• L-BFGS
• Poblano
• CUSP

Cites Work

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