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Volume 14, Issue 1
Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects

P.-W. Martelli & S.M. Mefire

DOI: 10.4208/nmtma.OA-2019-0135

Numer. Math. Theor. Meth. Appl., 14 (2021), pp. 113-143.

Published online: 2020-10

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  • 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.

  • Keywords

Electroactive media, ferroelectricity, electrostatics, Ginzburg-Landau systems, finite elements, inexact Newton methods, numerical simulations.

  • AMS Subject Headings

82D45, 82D80, 78A25, 35Q56, 47H10, 65N30, 49M15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-14-113, author = {Martelli , P.-W. and Mefire , S.M.}, title = {Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2020}, volume = {14}, number = {1}, pages = {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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2019-0135}, url = {http://global-sci.org/intro/article_detail/nmtma/18329.html} }
TY - JOUR T1 - Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects AU - Martelli , P.-W. AU - Mefire , S.M. JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 113 EP - 143 PY - 2020 DA - 2020/10 SN - 14 DO - http://doi.org/10.4208/nmtma.OA-2019-0135 UR - https://global-sci.org/intro/article_detail/nmtma/18329.html KW - Electroactive media, ferroelectricity, electrostatics, Ginzburg-Landau systems, finite elements, inexact Newton methods, numerical simulations. AB -

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.

Martelli , P.-W. and Mefire , S.M.. (2020). Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects. Numerical Mathematics: Theory, Methods and Applications. 14 (1). 113-143. doi:10.4208/nmtma.OA-2019-0135
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