Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems

DOI10.1007/3-540-26825-1_62zbMath1066.65072OpenAlexW2286885116WikidataQ58048022 ScholiaQ58048022MaRDI QIDQ4655190

Matthias Heinkenschloss, Hoang Q. Nguyen

Publication date: 10 March 2005

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

Full work available at URL: http://hdl.handle.net/1911/102013

zbMATH Keywords

numerical examplesSchur complementelliptic linear quadratic optimal controlNeumann-Neumann domain decomposition preconditioners

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems, A spatial domain decomposition method for parabolic optimal control problems, Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems, A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations, Analysis of block matrix preconditioners for elliptic optimal control problems, Optimized Schwarz methods for the optimal control of systems governed by elliptic partial differential equations, A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems

Uses Software

• QMRPACK