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 - <p style="text-align: justify;">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.</p>