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Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time

Journal Article · · Optimization Methods and Software
 [1];  [2]
  1. Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD, USA; OSTI
  2. Division of Science, Information Arts and Technologies, University of Baltimore, Baltimore, MD, USA
Not provided.
Research Organization:
Univ. of Maryland Baltimore County (UMBC), Baltimore, MD (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0005455;
OSTI ID:
1979227
Journal Information:
Optimization Methods and Software, Journal Name: Optimization Methods and Software Journal Issue: 5 Vol. 37; ISSN 1055-6788
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English

References (29)

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Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems journal June 2014
Multigrid second-order accurate solution of parabolic control-constrained problems journal October 2010
A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems journal May 2015
Multigrid methods for parabolic distributed optimal control problems journal August 2003
A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions journal December 2016
A new multigrid method for unconstrained parabolic optimal control problems journal December 2017
All-at-once solution of time-dependent Stokes control journal January 2013
A note on multigrid preconditioning for fractional PDE-constrained optimization problems journal February 2021
V-cycle convergence of some multigrid methods for ill-posed problems journal May 2003
Optimal order multilevel preconditioners for regularized ill-posed problems journal February 2008
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Multigrid Preconditioning of Linear Systems for Interior Point Methods Applied to a Class of Box-constrained Optimal Control Problems journal January 2012
Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems journal January 2012
Crank--Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems journal January 2015
Optimal-Order Preconditioners for Linear Systems Arising in the Semismooth Newton Solution of a Class of Control-Constrained Problems journal January 2016
Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems journal January 2016
Multigrid Preconditioners for the Newton--Krylov Method in the Optimal Control of the Stationary Navier--Stokes Equations journal January 2019

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