A potential-based finite-element method for time-dependent Maxwell’s equations

DOI10.1080/00207160500113074zbMath1130.78313OpenAlexW2075345251MaRDI QIDQ3375531

Tong Kang, Kwang Ik Kim

Publication date: 14 March 2006

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160500113074

zbMATH Keywords

Maxwell's equationserror estimateapproachA--\(\varphi\)nodal element

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (8)

Fully discrete potential-based finite element methods for a transient eddy current problem ⋮ An A-ϕ Scheme for Type-II Superconductors ⋮ 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 ⋮ 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
• Finite Element Methods for Navier-Stokes Equations
• Analysis of a Finite Element Method for Maxwell’s Equations
• Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients

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