Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations

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References

[1] N. M. Alexandrov, “Optimization of Engineering Systems Governed by Differential Equations,” SIAG/OPT Views & News, Vol. 11, No. 2, 2000, pp. 1-4.

[2] R. M. Lewis, “The Adjoint Approach in a Nutshell,” SIAG/OPT Views & News, Vol. 11, No. 2, 2000, pp. 9-12.

[3] V. K. Tolstykh, “Direct Extreme Approach for Optimization of Distributed Parameter Systems,” Yugo-Vostok, Donetsk, 1997.

[4] V. K. Tolstykh, “New First-Order Algorithms for Optimal Control under Large and Infinite-Dimensional Objective Functions New First-Order Algorithm for Optimal Control with High Dimensional Quadratic Objective,” Proceedings of the 16th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation, Lausanne, 21-25 August 2000.
http://metronu.ulb.ac.be/imacs/lausanne/CP/215-3.pdf

[5] R. H. W. Hoppe and S. I. Petrova, “Applications of the Newton Interior-Point Method for Maxwell’s Equations,” Proceedings of the 16th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation, Lausanne, 21-25 August 2000.
http://metronu.ulb.ac.be/imacs/lausanne/SP/107-7.pdf

[6] C. T. Kelly, “Iterative Methods for Optimization,” SIAM, Philadelphia, 1999. doi:10.1137/1.9781611970920

[7] J. Nocedal, S. J. Wright, “Numerical Optimization,” Springer, New York, 1999. doi:10.1007/b98874