A domain decomposition algorithm for optimal control problems governed by elliptic PDEs with random inputs

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124674 ◽

2020 ◽

Vol 364 ◽

pp. 124674

Author(s):

Yoongu Hwang ◽

Jangwoon Lee ◽

Jeehyun Lee ◽

Myoungho Yoon

Keyword(s):

Optimal Control ◽

Domain Decomposition ◽

Optimal Control Problems ◽

Decomposition Algorithm ◽

Elliptic Pdes ◽

Control Problems ◽

Random Inputs ◽

Domain Decomposition Algorithm

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On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-12535-5_4 ◽

2010 ◽

pp. 40-53 ◽

Author(s):

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Elliptic Pdes ◽

Control Problems ◽

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On the semi-discretization of optimal control problems for networks of elastic strings: global optimality systems and domain decomposition

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00307-1 ◽

2000 ◽

Vol 120 (1-2) ◽

pp. 133-157 ◽

Author(s):

G. Leugering

Keyword(s):

Optimal Control ◽

Domain Decomposition ◽

Optimal Control Problems ◽

Control Problems ◽

Global Optimality ◽

Elastic Strings ◽

Optimality Systems

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Dynamic Domain Decomposition of Optimal Control Problems for Networks of Strings and Timoshenko Beams

SIAM Journal on Control and Optimization ◽

10.1137/s0363012997331986 ◽

1999 ◽

Vol 37 (6) ◽

pp. 1649-1675 ◽

Author(s):

G. Leugering

Keyword(s):

Optimal Control ◽

Domain Decomposition ◽

Optimal Control Problems ◽

Control Problems ◽

Timoshenko Beams ◽

Dynamic Domain Decomposition ◽

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Time-domain decomposition of optimal control problems for the wave equation

Systems & Control Letters ◽

10.1016/s0167-6911(02)00268-2 ◽

2003 ◽

Vol 48 (3-4) ◽

pp. 229-242 ◽

Author(s):

J.E. Lagnese ◽

G. Leugering

Keyword(s):

Optimal Control ◽

Wave Equation ◽

Domain Decomposition ◽

Time Domain ◽

Optimal Control Problems ◽

Control Problems

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Domain Decomposition for Elliptic Optimal Control Problems

Domain Decomposition Methods in Optimal Control of Partial Differential Equations ◽

10.1007/978-3-0348-7885-2_4 ◽

2004 ◽

pp. 107-129

Author(s):

John E. Lagnese ◽

Günter Leugering

Keyword(s):

Optimal Control ◽

Domain Decomposition ◽

Optimal Control Problems ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Immersed finite elements for optimal control problems of elliptic PDEs with interfaces

Journal of Computational Physics ◽

10.1016/j.jcp.2015.05.050 ◽

2015 ◽

Vol 298 ◽

pp. 305-319 ◽

Author(s):

Qian Zhang ◽

Kazufumi Ito ◽

Zhilin Li ◽

Zhiyue Zhang

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Elliptic Pdes ◽

Control Problems ◽

Immersed Finite Elements

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Comments on “a decomposition algorithm for solving a class of optimal control problems”

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(73)90223-0 ◽

1973 ◽

Vol 41 (2) ◽

pp. 486-489

Author(s):

Thomas Pecsvaradi

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Decomposition Algorithm ◽

Control Problems

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Integration of Sequential Quadratic Programming and Domain Decomposition Methods for Nonlinear Optimal Control Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVII ◽

10.1007/978-3-540-75199-1_6 ◽

2008 ◽

pp. 69-80

Author(s):

Matthias Heinkenschloss ◽

Denis Ridzal

Keyword(s):

Optimal Control ◽

Quadratic Programming ◽

Domain Decomposition ◽

Sequential Quadratic Programming ◽

Optimal Control Problems ◽

Decomposition Methods ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Domain Decomposition Methods

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Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs

Applied Mathematics Letters ◽

10.1016/j.aml.2019.06.025 ◽

2019 ◽

Vol 98 ◽

pp. 438-445 ◽

Author(s):

Hongbo Guan ◽

Yong Wang ◽

Huiqing Zhu

Keyword(s):

Optimal Control ◽

Dirichlet Boundary ◽

Optimal Control Problems ◽

Meshless Methods ◽

Elliptic Pdes ◽

Control Problems

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TIME DOMAIN DECOMPOSITION IN SOLUTION OF SINGULAR NONLINEAR OPTIMAL CONTROL PROBLEMS

IFAC Proceedings Volumes ◽

10.3182/20050703-6-cz-1902.00916 ◽

2005 ◽

Vol 38 (1) ◽

pp. 329-334

Author(s):

Raynitchka Tzoneva

Keyword(s):

Optimal Control ◽

Domain Decomposition ◽

Time Domain ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems

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