A time discretization scheme for a non-linear degenerate eddy current model for ferromagnetic materials
A time discretization scheme for a non-linear degenerate eddy current model for ferromagnetic materials
复制标题
DOI：
10.1093/imanum/dri030
复制
发表时间：
2006
影响因子：
2.1
通讯作者：
M. Slodicka
中科院分区：
文献类型：
--
作者：
M. Slodicka
本文研究了一种非线性简并瞬态涡流模型-H-T（H + H| H| α）+ α x（V x H）= 0，其中0 < a < 1服从齐次Dirichlet边界条件H x v = 0。在这里，软铁磁体的磁性由幂材料定律联系在一起。证明了问题的适定性，并设计了一种非线性时间离散数值格式，在适当的函数空间中逼近。证明了逼近弱解的收敛性，并给出了误差估计。
This paper is devoted to the study of a non-linear degenerate transient eddy current model of the type ∂ t (H + H |H| α ) + ⊇ x (V x H) = 0 for some 0 < a < 1 subject to homogeneous Dirichlet boundary condition H x v = 0. Here, the magnetic properties of a soft ferromagnet are linked by a power material law. The well-posedness of the problem is proved and a non-linear time-discrete numerical scheme for the approximation in suitable function spaces is designed. Convergence of the approximation to a weak solution is proved and error estimates are derived.