@Article{JCM-26-5,
author = {Slodička, Marián and Ján, Jr, Buša},
title = {Error Estimates for the Time Discretization for Nonlinear Maxwell's Equations},
journal = {Journal of Computational Mathematics},
year = {2008},
volume = {26},
number = {5},
pages = {677--688},
abstract = {<p style="text-align: justify;">This paper is devoted to the study of a nonlinear evolution eddy current model of the type $\partial_t \boldsymbol{B}(\boldsymbol{H})+∇ × (∇ ×&nbsp;\boldsymbol{H}) = 0$ subject to homogeneous Dirichlet boundary conditions $\boldsymbol{H} ×&nbsp;ν=0$ and a given initial datum. Here, the magnetic properties of a soft ferromagnet are linked by a nonlinear material law described by $\boldsymbol{B}(\boldsymbol{H})$. We apply the backward Euler method for the time discretization and we derive the error estimates in suitable function spaces. The results depend on the nonlinearity of $\boldsymbol{B}(\boldsymbol{H})$.</p>},
issn = {1991-7139},
doi = {https://doi.org/2008-JCM-8651},
url = {https://global-sci.com/article/84954/error-estimates-for-the-time-discretization-for-nonlinear-maxwells-equations}
}