Adaptive mesh refinement method for solving optimal control problems using interpolation error analysis and improved data compression

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2019.11.024 ◽

2020 ◽

Vol 357 (3) ◽

pp. 1603-1627

Author(s):

Jisong Zhao ◽

Shuang Li

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Data Compression ◽

Adaptive Mesh Refinement ◽

Optimal Control Problems ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Interpolation Error ◽

Control Problems ◽

Refinement Method

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Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2015.05.028 ◽

2015 ◽

Vol 352 (10) ◽

pp. 4081-4106 ◽

Author(s):

Fengjin Liu ◽

William W. Hager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Mesh Size ◽

Adaptive Mesh ◽

Size Reduction ◽

Refinement Method

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Adaptive mesh refinement method for optimal control based on Hermite-Legendre-Gauss-Lobatto direct transcription

Journal of Vibroengineering ◽

10.21595/jve.2017.18146 ◽

2017 ◽

Vol 19 (8) ◽

pp. 6036-6048

Author(s):

Tao Liu ◽

Humin Lei ◽

Deng Li ◽

Jikun Ye

Keyword(s):

Optimal Control ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Direct Transcription ◽

Refinement Method

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Mesh refinement method for solving optimal control problems with nonsmooth solutions using jump function approximations

Optimal Control Applications and Methods ◽

10.1002/oca.2719 ◽

2021 ◽

Author(s):

Alexander T. Miller ◽

William W. Hager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Mesh Refinement ◽

Control Problems ◽

Refinement Method ◽

Jump Function ◽

Function Approximations

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Mesh Refinement Method for Solving Bang-Bang Optimal Control Problems Using Direct Collocation

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-0378 ◽

2020 ◽

Author(s):

Yunus M. Agamawi ◽

William W. Hager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Mesh Refinement ◽

Control Problems ◽

Direct Collocation ◽

Refinement Method

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Adaptive Mesh Refinement Method for Optimal Control Using Decay Rates of Legendre Polynomial Coefficients

IEEE Transactions on Control Systems Technology ◽

10.1109/tcst.2017.2702122 ◽

2018 ◽

Vol 26 (4) ◽

pp. 1475-1483 ◽

Author(s):

Fengjin Liu ◽

William W. Hager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Legendre Polynomial ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Decay Rates ◽

Polynomial Coefficients ◽

Refinement Method

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Mesh Refinement Method for Optimal Control Problems with Discontinuous Control Profiles

AIAA Guidance, Navigation, and Control Conference ◽

10.2514/6.2017-1506 ◽

2017 ◽

Author(s):

Yunus M. Agamawi ◽

William W. Hager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Mesh Refinement ◽

Control Problems ◽

Discontinuous Control ◽

Refinement Method

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TSUNAMI SIMULATION OF MEGATHRUST EARTHQUAKES ALONG THE NANKAI TROUGH USING ADAPTIVE MESH REFINEMENT METHOD

Journal of Japan Society of Civil Engineers Ser B2 (Coastal Engineering) ◽

10.2208/kaigan.76.2_i_289 ◽

2020 ◽

Vol 76 (2) ◽

pp. I_289-I_294

Author(s):

Takuya MIYASHITA ◽

Octavio GOMEZ-RAMOS ◽

Nobuhito MORI

Keyword(s):

Adaptive Mesh Refinement ◽

Nankai Trough ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Tsunami Simulation ◽

Megathrust Earthquakes ◽

Refinement Method

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Enhanced adaptive mesh refinement method using advanced vortex identification sensors in wake flow

Aerospace Science and Technology ◽

10.1016/j.ast.2021.106796 ◽

2021 ◽

pp. 106796

Author(s):

Chao Pang ◽

Hua Yang ◽

Zhenghong Gao ◽

Shusheng Chen

Keyword(s):

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Wake Flow ◽

Vortex Identification ◽

Refinement Method

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An hybrid linking approach for solving the conservation equations with an Adaptive Mesh Refinement method

International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004) ◽

10.1201/9780429081385-37 ◽

2019 ◽

pp. 150-153

Author(s):

S. Delage ◽

S. Vincent ◽

J.P. Caltagirone ◽

J.P. Heliot

Keyword(s):

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Conservation Equations ◽

Refinement Method

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A Posteriori Error Analysis of Optimal Control Problems with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130909251 ◽

2014 ◽

Vol 52 (3) ◽

pp. 1832-1861 ◽

Author(s):

Kristina Kohls ◽

Arnd Rösch ◽

Kunibert G. Siebert

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

Control Constraints ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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