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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An hp mesh refinement method for optimal control using discontinuity detection and mesh size reduction

53rd IEEE Conference on Decision and Control ◽

10.1109/cdc.2014.7040308 ◽

2014 ◽

Author(s):

Fengjin Liu ◽

William W. Hager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Mesh Refinement ◽

Mesh Size ◽

Size Reduction ◽

Discontinuity Detection ◽

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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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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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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CIVA (Cubic Interpolation with Volume/Area Coordinates) and AMR (Adaptive Mesh Refinement) Method for Discrete Boltzmann Equation

JSME International Journal Series B ◽

10.1299/jsmeb.48.229 ◽

2005 ◽

Vol 48 (2) ◽

pp. 229-234 ◽

Author(s):

Taku OZAWA ◽

Takahiko TANAHASHI

Keyword(s):

Boltzmann Equation ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Refinement Method ◽

Discrete Boltzmann Equation

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An Application of Adaptive Mesh Refinement Method for Modeling of Nonstationary Hypersonic Flows in the Atmosphere

28th International Symposium on Shock Waves ◽

10.1007/978-3-642-25685-1_41 ◽

2012 ◽

pp. 265-270

Author(s):

A. Astanin ◽

E. Kharik

Keyword(s):

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Hypersonic Flows ◽

Refinement Method

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Accuracy analysis of an adaptive mesh refinement method using benchmarks of 2-D steady incompressible lid-driven cavity flows and coarser meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.07.025 ◽

2015 ◽

Vol 275 ◽

pp. 262-271 ◽

Author(s):

Zhenquan Li ◽

Robert Wood

Keyword(s):

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Cavity Flows ◽

Accuracy Analysis ◽

Driven Cavity ◽

Refinement Method

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