A completely iterative method for the infinite domain electrostatic problem with nonlinear dielectric media

DOI10.1016/j.jcp.2011.07.001zbMath1229.78007OpenAlexW2050498073WikidataQ59924583 ScholiaQ59924583MaRDI QIDQ648044

Lun Yang, Kaushik Dayal

Publication date: 22 November 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.07.001

zbMATH Keywords

Dirichlet-to-Neumann mapmultiphysics couplingexterior electrostatics problemnonlinear anisotropic inhomogeneous dielectrics

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Electro- and magnetostatics (78A30) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (5)

Effective response of heterogeneous materials using the recursive projection method ⋮ Multiscale real-space quantum-mechanical tight-binding calculations of electronic structure in crystals with defects using perfectly matched layers ⋮ An energy formulation of continuum magneto-electro-elasticity with applications ⋮ A numerical framework for modeling flexoelectricity and Maxwell stress in soft dielectrics at finite strains ⋮ A hyperbolic Poisson solver for tetrahedral grids

Uses Software

• BEAN

Cites Work

• A finite difference domain decomposition method using local corrections for the solution of Poisson's equation
• A continuum theory of deformable, semiconducting ferroelectrics
• An iterative boundary potential method for the infinite domain Poisson problem with interior Dirichlet boundaries
• The solution of Poisson's equation for isolated source distributions
• Efficient implementation of the exact numerical far field boundary condition for Poisson equation on an infinite domain
• Numerical analysis of 3D electrostatics of deformable conductors using a Lagrangian approach
• A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity
• Symmetric Galerkin Boundary Element Method
• Elements of Continuum Mechanics and Thermodynamics
• Nonlinear magnetoelastic deformations
• Unnamed Item
• Unnamed Item

This page was built for publication: A completely iterative method for the infinite domain electrostatic problem with nonlinear dielectric media