A-\(\phi\) finite element method with composite grids for time-dependent eddy current problem

DOI10.1016/J.AMC.2015.02.077zbMath1410.78028OpenAlexW2094904176MaRDI QIDQ669705

Tong Kang, Tao Chen, Huai Zhang, Kwang Ik Kim

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.077

zbMATH Keywords

error estimateiteration schemeeddy current problemcomposite gridsA-\(\phi\) finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (3)

The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method ⋮ Boundary data identification for an electromagnetic problem by means of the potential field method ⋮ Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fully discrete potential-based finite element methods for a transient eddy current problem
• Eddy current approximation of Maxwell equations. Theory, algorithms and applications
• Fully Discrete A-ø Finite Element Method for Maxwell’s Equations with a Nonlinear Boundary Condition
• A potential-based finite-element method for time-dependent Maxwell’s equations
• Vector potentials in three-dimensional non-smooth domains
• A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
• A two-grid discretization scheme for eigenvalue problems
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• Fully discrete A‐ϕ finite element method for Maxwell's equations with nonlinear conductivity
• Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM

This page was built for publication: A-\(\phi\) finite element method with composite grids for time-dependent eddy current problem