Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems

From MaRDI portal
Publication:2450037

zbMath1288.65093MaRDI QIDQ2450037

Christian E. Schaerer, Daniel B. Szyld, Xiuhong Du, Markus V. Sarkis

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol40/abstract_vol40_pp36-57.html




Related Items (25)

Convergence analysis of the parareal-Euler algorithm for systems of ODEs with complex eigenvaluesDomain decomposition in time for PDE-constrained optimizationToward Parallel Coarse Grid Correction for the Parareal AlgorithmA fast second-order parareal solver for fractional optimal control problemsMultilevel space-time block diagonal preconditioners for parabolic problemsA splitting algorithm for constrained optimization problems with parabolic equationsA non-intrusive parallel-in-time adjoint solver with the xbraid libraryAnalysis of a new accelerated waveform relaxation method based on the time-parallel algorithmKrylov solvability under perturbations of abstract inverse linear problemsParareal algorithms with local time-integrators for time fractional differential equationsSpace-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022Fast parareal iterations for fractional diffusion equationsA Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation ProblemsAn efficient parareal algorithm for a class of time-dependent problems with fractional LaplacianTwo-level space-time domain decomposition methods for flow control problemsParallel matrix function evaluation via initial value ODE modelingPPINN: parareal physics-informed neural network for time-dependent PDEsTowards essential improvement for the parareal-TR and parareal-Gauss4 algorithmsSchwarz Methods for the Time-Parallel Solution of Parabolic Control ProblemsConvergence of Parareal Algorithms for PDEs with Fractional Laplacian and a Non-Constant CoefficientA non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEsAcceleration of the Two-Level MGRIT Algorithm via the Diagonalization TechniqueDiagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problemsConvergence Analysis for Three Parareal SolversInexact Hessian-vector products in reduced-space differential-equation constrained optimization




This page was built for publication: Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems