Convergence of the mixed finite element method for Maxwell's equations with nonlinear conductivity

DOI10.1002/mma.2513zbMath1250.78038OpenAlexW1825883274MaRDI QIDQ2912312

Stephane Durand, Marián Slodička

Publication date: 14 September 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2513

zbMATH Keywords

convergenceerror estimatesfinite elementsMaxwell's equationsquasi-static limit

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Statistical mechanics of superconductors (82D55) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Variational methods applied to problems in optics and electromagnetic theory (78M30) Maxwell equations (35Q61)

Related Items (6)

An operator splitting Legendre-tau spectral method for Maxwell's equations with nonlinear conductivity in two dimensions ⋮ Unnamed Item ⋮ Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System ⋮ Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations ⋮ A second order numerical scheme for nonlinear Maxwell's equations using conforming finite element ⋮ Fully discrete A‐ϕ finite element method for Maxwell's equations with nonlinear conductivity

Uses Software

• Gmsh
• GetDP

Cites Work

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