Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects
Year: 2021
Author: S.M. Mefire, P.-W. Martelli, S.M. Mefire
Numerical Mathematics: Theory, Methods and Applications, Vol. 14 (2021), Iss. 1 : pp. 113–143
Abstract
We study numerically the switching behavior aspects and calibration effects relative to finite media embedding fully a three-dimensional ferroelectric layer in a paraelectric environment. Our approach makes use of the Ginzburg-Landau formalism in combination with the electrostatics equations. The associated discrete nonlinear system, which arises from finite element approximations, is solved by an inexact Newton method. The resulting numerical experiments highlight the effects of a balance between the physical and geometrical parameters. In particular, the same state switchings can be retrieved from different ferroelectric layer sizes by acting upon the physical characteristic of the paraelectric environment. Ferroelectric platelet samples are in parallelepipedic and cylindrical configurations involved in these experiments.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2019-0135
Numerical Mathematics: Theory, Methods and Applications, Vol. 14 (2021), Iss. 1 : pp. 113–143
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: Electroactive media ferroelectricity electrostatics Ginzburg-Landau systems finite elements inexact Newton methods numerical simulations.