Solving Optimal Control Problems Using hp-Version Finite Elements in Time

Michael S. Warner; Dewey H. Hodges

doi:10.2514/2.4490

Solving Optimal Control Problems Using hp-Version Finite Elements in Time

Journal of Guidance Control and Dynamics ◽

10.2514/2.4490 ◽

2000 ◽

Vol 23 (1) ◽

pp. 86-94 ◽

Cited By ~ 10

Author(s):

Michael S. Warner ◽

Dewey H. Hodges

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Control Problems

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Direct Transcription of Optimal Control Problems with Finite Elements on Bernstein Basis

Journal of Guidance Control and Dynamics ◽

10.2514/1.g003753 ◽

2019 ◽

Vol 42 (2) ◽

pp. 229-243 ◽

Cited By ~ 1

Author(s):

Lorenzo A. Ricciardi ◽

Massimiliano Vasile

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Control Problems ◽

Bernstein Basis ◽

Direct Transcription

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Finite Elements and Terminal Penalization for Quadratic Cost Optimal Control Problems Governed by Ordinary Differential Equations

SIAM Journal on Control and Optimization ◽

10.1137/0319049 ◽

1981 ◽

Vol 19 (6) ◽

pp. 744-764 ◽

Cited By ~ 9

Author(s):

Goong Chen ◽

Wendell H. Mills, Jr.

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Quadratic Cost

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Superconvergence for elliptic optimal control problems discretized by RT1 mixed finite elements and linear discontinuous elements

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2013.9.631 ◽

2013 ◽

Vol 9 (3) ◽

pp. 631-642

Author(s):

Tianliang Hou ◽

◽

Yanping Chen ◽

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Mixed Finite Elements ◽

Control Problems ◽

Discontinuous Elements ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Global solution of multi-objective optimal control problems with multi agent collaborative search and direct finite elements transcription

2016 IEEE Congress on Evolutionary Computation (CEC) ◽

10.1109/cec.2016.7743882 ◽

2016 ◽

Cited By ~ 2

Author(s):

Lorenzo A. Ricciardi ◽

Massimiliano Vasile ◽

Christie Maddock

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Global Solution ◽

Optimal Control Problems ◽

Control Problems ◽

Multi Objective ◽

Collaborative Search ◽

Multi Agent

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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 ◽

Cited By ~ 10

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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The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences

SIAM Journal on Control and Optimization ◽

10.1137/17m1117768 ◽

2017 ◽

Vol 55 (6) ◽

pp. 3640-3672 ◽

Cited By ~ 3

Author(s):

Jérome Droniou ◽

Neela Nataraj ◽

Devika Shylaja

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Finite Differences ◽

Optimal Control Problems ◽

Control Problems ◽

Discretization Method ◽

Nonconforming Finite Elements ◽

Mimetic Finite Differences

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Convergence of Adaptive Finite Elements for Optimal Control Problems with Control Constraints

International Series of Numerical Mathematics - Trends in PDE Constrained Optimization ◽

10.1007/978-3-319-05083-6_25 ◽

2014 ◽

pp. 403-419 ◽

Cited By ~ 3

Author(s):

Kristina Kohls ◽

Kunibert G. Siebert ◽

Arnd Rösch

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Adaptive Finite Elements

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Boundary concentrated finite elements for optimal control problems with distributed observation

Computational Optimization and Applications ◽

10.1007/s10589-015-9737-5 ◽

2015 ◽

Vol 62 (1) ◽

pp. 31-65 ◽

Cited By ~ 4

Author(s):

S. Beuchler ◽

K. Hofer ◽

D. Wachsmuth ◽

J.-E. Wurst

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Control Problems

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Finite Elements in Time: A Direct Transcription Method for Optimal Control Problems

AIAA/AAS Astrodynamics Specialist Conference ◽

10.2514/6.2010-8275 ◽

2010 ◽

Cited By ~ 6

Author(s):

Massimiliano Vasile

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Control Problems ◽

Direct Transcription

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Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.07.006 ◽

2010 ◽

Vol 217 (5) ◽

pp. 2057-2066 ◽

Cited By ~ 10

Author(s):

Jianwei Zhou ◽

Yanping Chen ◽

Yongquan Dai

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Mixed Finite Elements ◽

Control Problems ◽

Integral Constraint

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