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

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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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     author = {E. M. Veselova},
     title = {Analysis and computer implementation of the mathematical model of $180^{^\circ}$ domain structures formation in ferroelectrics},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {257--262},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2022_22_2_a22/}
}
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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/