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- Title
SOLVING VARIATIONAL PROBLEMS VIA EVOLUTIONARY ALGORITHM.
- Authors
KORDA, V. YU.; BEREZOVSKY, S. V.; MOLEV, A. S.; KLEPIKOV, V. F.; KORDA, L. P.
- Abstract
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.
- Subjects
EVOLUTIONARY algorithms; PROBLEM solving; NUMERICAL analysis; SMOOTHNESS of functions; DISTRIBUTION (Probability theory); THERMODYNAMICS; FERROELECTRIC crystals
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2013, Vol 24, Issue 3, p-1
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183113500095