[PDF][PDF] A third order linearized BDF scheme for Maxwell's equations with nonlinear conductivity using finite element method

C Yao, Y Lin, C Wang, Y Kou - Int. J. Numer. Anal. Model, 2017 - math.ualberta.ca
In this paper, we study a third order accurate linearized backward differential formula (BDF)
type scheme for the nonlinear Maxwell's equations, using the Nédelec finite element …

An operator splitting Legendre-tau spectral method for Maxwell's equations with nonlinear conductivity in two dimensions

C Niu, H Ma - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In the paper, an operator splitting Legendre-tau spectral method is proposed to solve
Maxwell's equations with nonlinear conductivity in two dimensions. By the implicit–explicit …

A second order numerical scheme for nonlinear Maxwell's equations using conforming finite element

C Yao, S Jia - Applied Mathematics and Computation, 2020 - Elsevier
In this paper, we study and analyze a second order numerical scheme for Maxwell's
equations with nonlinear conductivity, using the Nédelec Finite Element Method (FEM). A …

Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations.

J Wang - Discrete & Continuous Dynamical Systems-Series …, 2021 - search.ebscohost.com
In this paper, we investigate an accurate and efficient method for nonlinear Maxwell's
equation. DG method and Crank-Nicolson scheme are employed for spatial and time …

The simulation of nonlinear magneto-heat coupling model approached by finite element method

T Xu, X Fan, C Yao - 2023 - researchsquare.com
This article is devoted to the exploration of finite element methodfor magneto-heat coupling
model, where the eddy current problem and the heat equation are coupled together with the …

[PDF][PDF] CONVERGENCE ANALYSIS OF FINITE ELEMENT APPROXIMATION FOR 3-D MAGNETO-HEATING COUPLING MODEL.

I WANG, C Yao, Z Zhang - International Journal of Numerical …, 2020 - math.ualberta.ca
In this paper, the magneto-heating model is considered, where the nonlinear terms conclude
the coupling magnetic diffusivity, the turbulent convection zone, the flow fields, ohmic heat …