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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
联系方式：0411-84706332
电子邮箱：xwgao@dlut.edu.cn
Sebsm-based residual iterative method for solving large systems of linear equations and its applications in computational mechanics
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论文类型：会议论文
发表时间：2014-07-20
收录刊物：EI、Scopus
页面范围：6583-6593
摘要：In this paper, a new iterative method, named residual iterative method, for solving sparse non-symmetrical systems of linear equations is proposed based on the Simultaneous Elimination and Back-Substitution Method (SEBSM), and the method is applied to solve systems resulted in solid mechanics problems solved using Finite Element Method (FEM). First, SEBSM is introduced for solving general linear systems using the direct method. And, then a double-iterations method for reducing the residual of the system of equations and modifying the value of the solution change is presented based on a Newton-Raphson iterative technique. In each system residual iteration, another inner iterative process is applied for modifying the solution change. Two numerical examples are given to demonstrate the behaviour of the proposed method.