Article citationsMore>>

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

has been cited by the following article:

• TITLE: Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations

  AUTHORS: Victor K. Tolstykh

  KEYWORDS: Optimization; Gradient; Necessary Conditions for Optimality; Partial Differential Equations;Infinite-Dimensional Algorithms;

  JOURNAL NAME: Engineering, Vol.4 No.7, July 3, 2012

  ABSTRACT: New form of necessary conditions for optimality (NCO) is considered. They can be useful for design the direct infinite- dimensional optimization algorithms for systems described by partial differential equations (PDE). Appropriate algo-rithms for unconstrained minimizing a functional are considered and tested. To construct the algorithms, new form of NCO is used. Such approach demonstrates fast uniform convergence at optimal solution in infinite-dimensional space.