CONVERGENCE OF AN ALTERNATING A-φ SCHEME FOR QUASI-MAGNETOSTATIC EDDY CURRENT PROBLEM  

作　　者：Chang-fengMa 

机构地区：[1]DepartmentofMathematics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China

出　　处：《Journal of Computational Mathematics》2004年第5期661-670,共10页计算数学（英文）

摘　　要：We propose in this paper an alternating A-φ method for the quasi-magnetostatic eddy current problem by means of finite element approximations. Bounds for continuous and discrete error in finite time are given. And it is verified that provided the time step τ is sufficiently small, the proposed algorithm yields for finite time T an error of O(h+τ^1/2) in the L^2-norm for the magnetic field H(=μ^-1△↓×A), where h is the mesh size, μ the magnetic permeability.

分 类 号：O173.1[理学—数学]