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个人信息Personal Information
教授
博士生导师
硕士生导师
任职 : 国家重大专项专家组成员、教育部热防护专业组组长、国际华人计算力学协会理事、中国航空学会理事、中国航空学会强度与设计专业委员会委员、国际边界单元法协会会员、教育部高等学校航空航天类专业教学指导委员会委员
性别：男
毕业院校：Glasgow University
学位：博士
所在单位：力学与航空航天学院
办公地点：海宇楼403A
电子邮箱：xwgao@dlut.edu.cn
A SOLVER OF LINEAR SYSTEMS OF EQUATIONS (REBSM) FOR LARGE-SCALE ENGINEERING PROBLEMS
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论文类型：期刊论文
发表时间：2012-03-01
发表刊物：INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
收录刊物：SCIE、EI
卷号：9
期号：1
ISSN号：0219-8762
关键字：Linear system of equations; REBSM; Gaussian elimination; back-substitution; sparse matrix
摘要：In this paper, a novel linear equation solution method is proposed based on a row elimination back-substitution method (REBSM). The elimination and back-substitution procedures are carried out on individual row levels. The advantage of the proposed method is that it is much faster and requires less storage than the Gaussian elimination algorithm and, therefore, is capable of solving larger systems of equations. The method is particularly efficient for solving band diagonal sparse systems with symmetric or nonsymmetric coefficient matrices, and can be easily applied to popular numerical methods, such as the finite element method and the boundary element method. Detailed Fortran codes and examples are given to demonstrate the robustness and efficiency of the proposed method.