SOLVING VARIATIONAL PROBLEMS VIA EVOLUTIONARY ALGORITHM

被引：7

作者：

Korda, V. Yu ^{[1
]}

Berezovsky, S. V. ^{[1
]}

Molev, A. S. ^{[1
]}

Klepikov, V. F. ^{[1
]}

Korda, L. P. ^{[1
,2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Electrophys & Radiat Technol, UA-61002 Kharkov, Ukraine

[2] Natl Acad Sci Ukraine, NSC Kharkov Inst Phys & Technol, UA-61108 Kharkov, Ukraine

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2013年 / 24卷 / 03期

关键词：

Variational problem; evolutionary computations; proper ferroelectrics; incommensurate phase;

D O I：

10.1142/S0129183113500095

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present the evolutionary algorithm that evolves the population of numerical solutions of the variational problem. The evolved solutions are model-independent, smooth, can have a predefined shape (if needed), and satisfy boundary or any other additional conditions (if imposed). To exemplify the performance of the proposed algorithm, we show how to solve the variational problem of searching for the spatially modulated distribution of the field of order parameter that gives a minimum to the Landau-type thermodynamic potential in the theory of ferroelectrics with incommensurate phases.

引用

页数：13

共 15 条

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