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ICCS
2007
Springer
13 years 10 months ago
Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems
Abstract. Hierarchical (H)-matrices approximate full or sparse matrices using a hierarchical data sparse format. The corresponding H-matrix arithmetic reduces the time complexity o...
Suely Oliveira, Fang Yang
SIAMSC
2010
198views more  SIAMSC 2010»
13 years 2 months ago
Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
In this paper, we describe block matrix algorithms for the iterative solution of large scale linear-quadratic optimal control problems arising from the optimal control of parabolic...
Tarek P. Mathew, Marcus Sarkis, Christian E. Schae...
SIAMCO
2000
148views more  SIAMCO 2000»
13 years 4 months ago
Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints
This paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints. We obtain necessar...
E. Casas, J. P. Raymond, H. Zidani
SIAMJO
2008
93views more  SIAMJO 2008»
13 years 4 months ago
Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
Second-order sufficient optimality conditions are established for the optimal control of semilinear elliptic and parabolic equations with pointwise constraints on the control and t...
Eduardo Casas, Juan Carlos de los Reyes, Fredi Tr&...
AUTOMATICA
2011
12 years 11 months ago
Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction
We present a framework to solve a finite-time optimal control problem for parabolic partial differential equations (PDEs) with diffusivity-interior actuators, which is motivate...
Chao Xu, Yongsheng Ou, Eugenio Schuster