Numerical modeling and investigations of 3D devices with ferroelectric layer fully embedded in a paraelectric environment

DOI10.1016/j.camwa.2018.04.027zbMath1419.82073OpenAlexW2807340350MaRDI QIDQ2001690

Pierre-William Martelli, S. M. Mefire

Publication date: 11 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.027

zbMATH Keywords

inexact Newton methodsfinite elementsnumerical simulationsferroelectricityGinzburg-Landau systemselectroactive media

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Fixed-point theorems (47H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Statistical mechanics of ferroelectrics (82D45) Electro- and magnetostatics (78A30) Ginzburg-Landau equations (35Q56) Statistical mechanics of nanostructures and nanoparticles (82D80)

Cites Work

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• Global existence and regularity of solutions to a system of nonlinear Maxwell equations.
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Inexact Newton Methods
• A Fifth Degree Integration Formula for the n-Simplex

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