Fully discrete potential-based finite element methods for a transient eddy current problem

DOI10.1007/s00607-009-0049-4zbMath1196.78025OpenAlexW1978939300MaRDI QIDQ836950

Kwang Ik Kim, Tong Kang

Publication date: 9 September 2009

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-009-0049-4

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral representations of solutions to PDEs (35C15) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30)

Related Items (14)

Inverse final observation problems for Maxwell's equations in the quasi-stationary magnetic approximation and stable sequential Lagrange principles for their solving ⋮ Numerical analysis of a FEM based on a time-primitive of the electric field for solving a nonlinear transient eddy current problem ⋮ Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem ⋮ An A-ϕ Scheme for Type-II Superconductors ⋮ A boundary and finite element coupling for a magnetically nonlinear eddy current problem ⋮ The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method ⋮ A-\(\phi\) finite element method with composite grids for time-dependent eddy current problem ⋮ Unnamed Item ⋮ A (T,ψ)‐ψ_e decoupled scheme for a time‐dependent multiply‐connected eddy current problem ⋮ Boundary coefficient determination for an eddy current problem based on the potential field method ⋮ Boundary data identification for an electromagnetic problem by means of the potential field method ⋮ Improved \({\mathbf T}-\psi\) nodal finite element schemes for eddy current problems ⋮ Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model ⋮ Fully discrete A‐ϕ finite element method for Maxwell's equations with nonlinear conductivity

Cites Work

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• Fully discrete finite element approaches for time-dependent Maxwell's equations
• Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
• The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association
• Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$
• A potential-based finite-element method for time-dependent Maxwell’s equations
• Finite Element Methods for Navier-Stokes Equations
• A Justification of Eddy Currents Model for the Maxwell Equations
• Symmetric Coupling for Eddy Current Problems
• Mixed finite element approximation of eddy current problems

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