An improved error estimate for Maxwell's equations with a power-law nonlinear conductivity

DOI10.1016/J.AML.2015.01.017zbMath1321.78016OpenAlexW2068163465MaRDI QIDQ2344482

Tong Kang, Liyun Wu, Yanfang Wang, Kwang Ik Kim

Publication date: 15 May 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.01.017

zbMATH Keywords

error estimateedge elementsbackward Eulernonlinear Maxwell's equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Reliability, testing and fault tolerance of networks and computer systems (68M15)

Related Items (5)

An operator splitting Legendre-tau spectral method for Maxwell's equations with nonlinear conductivity in two dimensions ⋮ Unnamed Item ⋮ Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy ⋮ 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

Cites Work

• Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors
• Fully discrete finite element scheme for Maxwell's equations with non-linear boundary condition
• An eddy current problem with a nonlinear evolution boundary condition
• Fully discrete finite element method for Maxwell's equations with nonlinear conductivity
• Finite Element Methods for Maxwell's Equations

This page was built for publication: An improved error estimate for Maxwell's equations with a power-law nonlinear conductivity