Convergence of finite element A-φ method for solving time-dependent Maxwell's equations

被引：5
|
作者：
Ma, Changfeng
机构：
[1] Fujian Normal Univ, Coll Math & Comp Sci, Fuzhou 350007, Peoples R China
[2] Guilin Univ Elect Technol, Dept Computat Sci & Math, Guangxi 541004, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 176卷 / 02期
基金：
中国博士后科学基金;
关键词：
time-dependent Maxwell's equations; finite element A-phi method; ungauged potential; error analysis;
D O I：
10.1016/j.amc.2005.10.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper provides a convergence analysis of finite element A-phi method for the time-dependent Maxwell's equations based on ungauged potentials. Error estimates in finite time Tare given. And it is verified that provided the time-stepsize tau is sufficiently small, the proposed algorithm yields for finite time T an error of O(h + tau) in the L-2-norm for the electric field E and the magnetic field H, where h is the mesh size. (c) 2005 Elsevier Inc. All rights reserved.
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页码：621 / 631
页数：11
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