Curl(编程语言)
有限元法
共轭梯度法
基函数
Schwarz交替法
数学分析
区域分解方法
数学
间断(语言学)
应用数学
不连续性分类
数学优化
计算机科学
工程类
结构工程
程序设计语言
作者
Jin‐Fa Lee,Din-Kow Sun
出处
期刊:IEEE Transactions on Microwave Theory and Techniques
日期:2004-03-01
卷期号:52 (3): 864-870
被引量:79
标识
DOI:10.1109/tmtt.2004.823554
摘要
This paper presents the application of a p-type multiplicative Schwarz (pMUS) method for solving three-dimensional waveguide discontinuity problems. The two major contributions of the proposed pMUS method are: 1) the use of hierarchical curl-conforming basis functions that incorporate a discrete Hodge decomposition explicitly and 2) the treatment of each polynomial space (or basis functions group) as an abstract grid/domain in the Schwarz method. These two features greatly improve the applicability of the curl-conforming vector finite-element methods (FEMs) for solving Maxwell equations. Various numerical examples are solved using the proposed approach. The performance of the pMUS method has been compared to commercial FEM software as well as the incomplete Choleski conjugate gradient method. It is found that the pMUS method exhibits superior efficiency and consumes far less memory and CPU times.
科研通智能强力驱动
Strongly Powered by AbleSci AI