Finite element analysis of an A-φ method for time-dependent Maxwell's equations based on explicit-magnetic-field scheme

被引：3
|
作者：
Ma, Changfeng [1 ]
Wang, Desheng
机构：
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China
[2] Nanyang Technol Univ, Sch Math & Phys Sci, Div Math Sci, Singapore 631665, Singapore
[3] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期
基金：
中国国家自然科学基金;
关键词：
time-dependent Maxwell's equations; a-phi method; explicit-magnetic-field scheme; finite element method;
D O I：
10.1016/j.amc.2007.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, error analysis of a finite element A-phi method for the time-dependent Maxwell's equations is presented. An explicit-magnetic-field scheme is applied. Provided that the time-stepsize tau is sufficiently small, the proposed algorithm yields for finite time T an error of O(root tau(2) + tau(-1)h(4) + h(2)) in the L-2-norm for the electric field E and the magnetic field H, where h is the mesh size. (c) 2007 Elsevier Inc. All rights reserved.
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页码：1273 / 1283
页数：11
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