Error estimates for the time discretization for nonlinear Maxwell's equations
Error estimates for the time discretization for nonlinear Maxwell's equations
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发表时间：
2008
影响因子：
0.9
通讯作者：
Mavián;Slodika;Ján;Búa
中科院分区：
文献类型：
--
作者：
Mavián;Slodika;Ján;Búa
本文研究了一类偏导数B-t（H）+delx（delxH）= 0的非线性演化涡流模型，该模型具有齐次Dirichlet边界条件Hxnu = 0和给定的初始值.在这里，软磁铁磁体的磁性通过由B（H）描述的非线性材料定律联系在一起。我们应用向后欧拉方法的时间离散化，我们得到的误差估计在适当的函数空间。结果依赖于B（H）的非线性。
This paper is devoted to the study of a nonlinear evolution eddy current model of the type partial derivative B-t(H) + del x (del x H) = 0 subject to homogeneous Dirichlet boundary conditions H x nu = 0 and a given initial datum. Here, the magnetic properties of a soft ferromagnet are linked by a nonlinear material law described by B(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 B(H).