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

被引：0

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

来源：

WSEAS Transactions on Mathematics | 2009年 / 8卷 / 04期

关键词：

Control nonlinearities - Finite element method - Genetic algorithms - Nonlinear equations;

D O I：

暂无

中图分类号：

学科分类号：

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).

引用

页码：169 / 176