An hp‐adaptive pseudospectral method for solving optimal control problems

CL Darby, WW Hager, AV Rao - Optimal Control Applications …, 2011 - Wiley Online Library
An hp‐adaptive pseudospectral method is presented for numerically solving optimal control
problems. The method presented in this paper iteratively determines the number of …

Direct trajectory optimization using a variable low-order adaptive pseudospectral method

CL Darby, WW Hager, AV Rao - Journal of Spacecraft and Rockets, 2011 - arc.aiaa.org
OVER the past two decades, direct collocation methods have become popular in the
numerical solution of nonlinear optimal control problems. In a direct collocation method, the …

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

AT Miller, WW Hager, AV Rao - Optimal Control Applications …, 2021 - Wiley Online Library
A mesh refinement method is described for solving optimal control problems using Legendre‐
Gauss‐Radau collocation. The method detects discontinuities in the control solution by …

[HTML][HTML] Investigation of the effect of curvature on the local mass flux of evaporating droplets using a phase field method

VHC Cunha, JNG Hahn, CA Dorao… - International Journal of …, 2024 - Elsevier
Droplet evaporation, a fundamental process with wide-ranging applications, involves
complex physical mechanisms that significantly influence mass transfer rates and droplet …

Influence of liquid–vapor phase change on the self-propelled motion of droplets on wettability gradient surfaces

VHC Cunha, CA Dorao, M Fernandino - Physics of Fluids, 2024 - pubs.aip.org
Self-propelled motion of sessile droplets on gradient surfaces is key to the advancement of
microfluidic, nanofluidic, and surface fluidic technologies. Precise control over droplet …

Security enhanced anonymous remote user authentication and key agreement for cloud computing

Z Dong, L Zhang, J Li - 2014 IEEE 17th International …, 2014 - ieeexplore.ieee.org
Cloud computing is a new pattern of computing paradigm which enables the users to
transfer their work to the cloud. The tremendous storage and computing resources provided …

Dual least‐squares finite element method with stabilization

E Lee, H Na - Numerical Methods for Partial Differential …, 2023 - Wiley Online Library
The LL*‐method is a least‐squares finite element approach producing an approximation by
solving dual problem corresponding to the given partial differential equations. Due to the …

On the coupled solution of a combined population balance model using the least-squares spectral element method

Z Zhu, CA Dorao, D Lucas… - Industrial & engineering …, 2009 - ACS Publications
In this work, a cross-sectional averaged two-fluid model combined with a population balance
model is applied to simulate the flow field and the bubble size distributions in a two-phase …

Bayesian inference for data assimilation using Least-Squares Finite Element methods

RP Dwight - IOP Conference Series: Materials Science and …, 2010 - iopscience.iop.org
It has recently been observed that Least-Squares Finite Element methods (LS-FEMs) can be
used to assimilate experimental data into approximations of PDEs in a natural way, as …

Attitude Maneuver of Dual Rigid Bodies Spacecraft Using hp-Adaptive Pseudo-spectral Method

ZG Yi, XS Ge - International Journal of Aeronautical and Space …, 2019 - Springer
The spatial attitude optimal control problem of a spacecraft system with dual rigid bodies
interconnected by a frictionless universal joint is considered. Based on the conservation of …