ERROR ESTIMATES FOR THE TIME DISCRETIZATION FOR NONLINEAR MAXWELL'S EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Electromagnetic field Nonlinear eddy current problem Time discretization Error estimate
• 年，卷（期）: 2008,（5）
• 页码范围: 677-688
• 页数: 12页
• 语种: 英文

摘要

This paper is devoted to the study of a nonlinear evolution eddy current model of the type (б)tB(H) +▽×(▽×H) = 0 subject to homogeneous Dirichlet boundary conditions H×v = 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).