Convergence Analysis of All-at-Once Multigrid Methods for Elliptic Control Problems under Partial Elliptic Regularity

DOI10.1137/120880884zbMath1281.65096OpenAlexW1974791647MaRDI QIDQ2845615

Stefan Takacs, Walter Zulehner

Publication date: 2 September 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bafa206160c57c320b9d6b4c06401dafb01f1c3c

zbMATH Keywords

convergencePDE-constrained optimizationdistributed optimal control problemreduced regularityall-at-once multigrid methods

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)

Related Items (8)

Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems ⋮ A new semi-smooth Newton multigrid method for control-constrained semi-linear elliptic PDE problems ⋮ A Robust Multigrid Method for the Time-Dependent Stokes Problem ⋮ Robust multigrid solvers for the biharmonic problem in isogeometric analysis ⋮ Multigrid methods for saddle point problems: optimality systems ⋮ Optimal-Order Preconditioners for Linear Systems Arising in the Semismooth Newton Solution of a Class of Control-Constrained Problems ⋮ Efficient block preconditioners for integral constrained elliptic optimal control problems with finite element approximations ⋮ A robust all-at-once multigrid method for the Stokes control problem

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