Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST

DOI10.1007/978-3-319-93873-8_34zbMath1450.65101OpenAlexW2769357034MaRDI QIDQ5114554

Michael L. Minion, Sebastian Götschel

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_34

zbMATH Keywords

method of linescontrol problem, reaction-diffusion equation, parallel-in-time

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) Parallel numerical computation (65Y05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) PDEs in connection with control and optimization (35Q93)

Related Items (10)

A parallel-in-time approach for accelerating direct-adjoint studies ⋮ Deferred correction methods for ordinary differential equations ⋮ A non-intrusive parallel-in-time adjoint solver with the xbraid library ⋮ On the Application of Optimal Control Techniques to the Shadowing Approach for Time Averaged Sensitivity Analysis of Chaotic Systems ⋮ Parallel-in-time multiple shooting for optimal control problems governed by the Navier-Stokes equations ⋮ Applications of time parallelization ⋮ Parallel-in-time integration of the shallow water equations on the rotating sphere using parareal and MGRIT ⋮ PARAOPT: A Parareal Algorithm for Optimality Systems ⋮ An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs ⋮ A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs

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