Optimal Control-Based Inverse Determination of Electrode Distribution for Electroosmotic Micromixer
Abstract
:1. Introduction
2. Methodology
2.1. Modeling
2.2. Analyzing and Solving
3. Results and Discussion
4. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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1. Give the initial value of the control variable ; |
2. Solve the coupled system of Equations (2), (4), (6), and (8) by the finite element method; |
3. Solve the weak form adjoint equations (Equations (17)–(19), and (21)); |
4. Compute the adjoint derivatives (Equations (20) and (22)) and |
the corresponding objective and constraint values; |
5. Update the control variable by MMA; |
6. Check for convergence; if the stopping conditions are not satisfied, go to 2; and |
7. Post-processing |
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Ji, Y.; Deng, Y.; Liu, Z.; Zhou, T.; Wu, Y.; Qian, S. Optimal Control-Based Inverse Determination of Electrode Distribution for Electroosmotic Micromixer. Micromachines 2017, 8, 247. https://doi.org/10.3390/mi8080247
Ji Y, Deng Y, Liu Z, Zhou T, Wu Y, Qian S. Optimal Control-Based Inverse Determination of Electrode Distribution for Electroosmotic Micromixer. Micromachines. 2017; 8(8):247. https://doi.org/10.3390/mi8080247
Chicago/Turabian StyleJi, Yuan, Yongbo Deng, Zhenyu Liu, Teng Zhou, Yihui Wu, and Shizhi Qian. 2017. "Optimal Control-Based Inverse Determination of Electrode Distribution for Electroosmotic Micromixer" Micromachines 8, no. 8: 247. https://doi.org/10.3390/mi8080247