THE FINITE ELEMENT ANALYSIS OF THE CONTROLLED-SOURCE ELECTROMAGNETIC INDUCTION PROBLEMS BY FRACTIONAL-STEP PROJECTION METHOD

• 来源期刊: 计算数学(英文版)
• 关键词: Controlled-source electromagnetic induction problems Fractional-step projection method Finite element Error analysis.
• 年，卷（期）: 2004,（4）
• 页码范围: 557-566
• 页数: 10页
• 语种: 英文

摘要

This paper provides an convergence analysis of a fractional-step projection method for the controlled-source electromagnetic induction problems in heterogenous electrically conducting media by means of finite element approximations. Error estimates 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)(hs + τ) in the L2-norm for the magnetic field H, where h is the mesh size and 1/2 ＜ s ≤ 1.