Geodesic
Analysis and computer implementation of the mathematical model of $180^{^\circ}$ domain structures formation in ferroelectrics
Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 2, pp. 257-262 
E. M. Veselova. Analysis and computer implementation of the mathematical model of $180^{^\circ}$ domain structures formation in ferroelectrics. Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 2, pp. 257-262. http://geodesic.mathdoc.fr/item/DVMG_2022_22_2_a22/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The study is devoted to the theoretical analysis and numerical implementation of the 2D mathematical model of $180^{^\circ}$ ferroelectric domain structures formation within the framework of the Landau – Ginzburg – Devonshire thermodynamic approach supplemented by the Landau – Khalatnikov equation to express the polarization dynamics. The mathematical problem statement is formalized as an initial-boundary value problem for semilinear parabolic partial differential equation. A finite element implementation of the model is performed with the use of COMSOL Multiphysics platform. A series of computational experiments were conducted to visualize various configurations of ferroelectric domain structures.

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