Solution of the Schrodinger-Maxwell equations via finite elements and genetic algorithms with Nelder-Mead

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作者
Mastorakis, Nikos E. [1 ,2 ,3 ]
机构
[1] WSEAS Research Department, Agiou Ioannou Theologou 17-23, Zografou 15773 Athens, Greece
[2] Technical University of Sofia, English Language Faculty, Industrial Engineering Department, Sofia 1000, Bulgaria
[3] Military Institutes of University Education (ASEI), Hellenic Naval Academy, Terma Hatzikyriakou, Piraeus, Greece
关键词
Control nonlinearities - Finite element method - Genetic algorithms - Nonlinear equations;
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摘要
In this paper the Numerical Solution of the system of PDEs of Schrodinger-Maxwell equations (with a general nonlinear term) via Finite Elements and Genetic Algorithms with Nelder-Mead is proposed. The method of Finite Elements and Genetic Algorithms with Nelder-Mead that has been proposed by the author recently is also used. (Recently, the existence of a nontrivial solution to the nonlinear Schrodinger-Maxwell equations in R3, assuming on the nonlinearity the general hypotheses introduced by Berestycki & Lions has been proved).
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页码:169 / 176
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