A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs
DOI10.1080/10556788.2018.1504050zbMath1428.35641arXiv1801.06356OpenAlexW2964016678WikidataQ114099389 ScholiaQ114099389MaRDI QIDQ5238071
Jacob B. Schroder, Stefanie Günther, Nicolas R. Gauger
Publication date: 28 October 2019
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06356
simultaneous optimizationhigh-performance computingparallel-in-timeone-shot optimizationmultigrid-in-timeunsteady PDEs
Numerical methods based on necessary conditions (49M05) Control/observation systems governed by partial differential equations (93C20) Parallel numerical computation (65Y05) Software, source code, etc. for problems pertaining to partial differential equations (35-04) PDEs in connection with control and optimization (35Q93)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The optimal control of unsteady flows with a discrete adjoint method
- Reduced quasi-Newton method for simultaneous design and optimization
- A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
- A note on MGR methods
- Reduced functions, gradients and Hessians from fixed-point iterations for state equations
- A practical globalization of one-shot optimization for optimal design of tokamak divertors
- Aerodynamic shape optimization using simultaneous pseudo-timestepping
- Domain decomposition in time for PDE-constrained optimization
- Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems
- Preconditioners Based on “Parareal” Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization
- Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems
- One-Shot Approaches to Design Optimzation
- A generalized predictive analysis tool for multigrid methods
- Integration of Sequential Quadratic Programming and Domain Decomposition Methods for Nonlinear Optimal Control Problems
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Convergence of the multigrid reduction in time algorithm for the linear elasticity equations
- High-Performance Derivative Computations using CoDiPack
- Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST
- Parallel Time Integration with Multigrid
- Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study
- Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT)
- A non-intrusive parallel-in-time adjoint solver with the xbraid library