Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Huazhong University of Science and Technology》 2005-01
Add to Favorite Get Latest Update

Error analysis with the meshless method

Miao Yu Wang Yuanhan Jiang Heyang Miao Yu Doctoral Candidate; College of Civil Eng. & Mech.; Huazhong Univ. of Sci. & Tech. , Wuhan 430074, China.  
The properties and characteristics of the shape functions in meshless method and their influence on the numerical results were dealt with. The reasons why the error appeared in this method were discussed. It was showed that the shape matrix A ( X ) was ill conditioned when Element Free Galerkin method (EFGM) used high order polynomial basis and the nodes were ill distributed. The influence of different basic functions on the interpolation functions and the computed accuracy were analyzed and compared. Based on the above analysis, the criterion for choosing the basis function was obtained. The numerical examples were given to show that the highest accuracy can be achieved by using cubic basis function.
【Fund】: 北京市自然科学基金资助项目 (30 330 12 ) ;; 中国科学院岩土力学重点实验室资助项目 (Z110 2 0 2 ) .
【CateGory Index】: O241.1
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 1 Hits
1 WANG Xue-hai1,LI Yong-xian1,ZHAO Cui-qin2(1.Mathematics and Physics Department,Henan University of Urban Construction,Pingdingshan 467044,China;2.The Sixteenth Senior Middle School of Pingdingshan,Pingdingshan 467000,China);A Hybrid Boundary Node Method based on Improved Moving Least-squares Approximation[J];Journal of Xuchang University;2010-05
【Citations】
Chinese Journal Full-text Database 2 Hits
1 LONG Shu yao , CHEN Shen shen (Dept of Engineering Mechanics,Hunan Univ,Changsha 410082,China);Discussion on Choice of Basis Functions in Element Free Galerkin Method[J];Journal of Hunan University(Naturnal Science);2002-05
2 Pang Zuohui, Ge Xiurun, Zheng Hong, Wang Shuilin (Institute of Rock and Soil Mechanics, the Chinese Academy of Sciences, Wuhan 430071, China);A new numerical method element free Galerkin method (EFGM)[J];CHINESE JOURNAL OF COMPUTATIONAL MECHANICS;1999-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 GAO Zhi-hua~1,ZENG Hui-hui~2,LIU Zhi-qiang~1,ZHANG Ming-yi~1(1. State Key Laboratory of Frozen Soil Engineering, CAREERI, CAS, Lanzhou Gansu 730000, China;2. Northwest Research Institute of China Railway, Lanzhou Gansu 730000, China);Element-Free Method and Its Application to Study of Transient Heat Transference[J];Journal of Glaciology and Geocryology;2005-04
2 MA Ze ling,LIU Xue wen,WANG Yan chang (Dept.Phys. & Elec.Eng.,Ningxia Univ., Yinchuan 750021,Ningxia,China );The appplication of meshless method in jointed rock[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2002-03
3 LI Jing,YANG Yu-ying,LIU Hong-sheng(School of Materials Science and Engineering,Harbin Institute of Technology,Harbin 150001,China);Theoretical progress and application research of element-free Galerkin method[J];Materials Science and Technology;2007-02
4 FANG Zi-hu (College of Architecture & Civil Engineering,Shenzhen University,Shenzhen 518060,China);A new method for calculating nodal values in FEM postprocessing[J];;2005-05
5 FAN Cheng1,2,LUAN Mao-tian2,YANG Qing2(1.Research Center for Numerical Test on Material Failure,Dalian University,Dalian 116622,China;2.Institute of Geotechnical Engineering,School of Civil and Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China);Meshless Method Based on Finite Covers Technique and its Applications in Crack Expansion[J];Journal of Dalian University;2007-06
6 LIN Long-feng,YIN Hua-jie;Application of EFGM In Electromagnetic Computation[J];;2002-06
7 FAN Cheng1,2,LUAN Mao-tian1,2,YANG Qing1,2(1.State Key Lab.of Coastal and Offshore Eng.,Dalian Univ.of Technol.,Dalian 116024,China;2.Inst.of Geotech.Eng.,School of Civil and Hydraul.Eng.,Dalian Univ.of Technol.,Dalian 116024,China);Element-free point-interpolation procedure based on finite covers and its application[J];Journal of Dalian University of Technology;2007-04
8 ZHANG Li-feng~1,WANG Hua-xiang~2,XIN Xiu~3(1.North China Electric Power University,Baoding 071003,China;2.Tianjin University,Tianjin 300072,China;3.Baoding Vocational and Technical College,Baoding 071003,China);Simulation on Forward Problem of Electrical Capacitance Tomography Based on Element-Free Method[J];Electric Power Science and Engineering;2006-02
9 Mao Xinguang Lin Heyun (Department of Electrical Engineering, Southeast University, Nanjing 210096, China);Element free Galerkin method for numerical analysis of electromagnetic fields[J];Journal of Southeast University (Natural Science Edition);2003-01
10 SUN Hui,ZHOU De-liang (School of Mathematics,Liaoning Normal University,Dalian116029,Liaoning,China);Solution of the steady groundwater flowing Problem by the Element-Free Galerkin Method[J];Ground Water;2008-06
China Proceedings of conference Full-text Database 6 Hits
1 Zhang Yong (Huazhong University of Science and Technology );Meshless Method Based on Orthogonal Basis for Engineering Computational Electromagnetics[A];[C];2004
2 FANG Zi-hu (Department of civil engineering. College of architecture ft civil engineering, Shenzhen univenity, Shenzhen 518060, China);A NEW METHOD FOR CALCULATING NODAL VALUES OF FINITE ELEMENT[A];[C];2005
3 Zhu Hehua;Cai Yongchang;Li Xiaojun;Ding Wenqi Department of Geotechnical Engineering, Tongji University, Shanghai, 200092;APPLICATION OF MESHLESS NATURAL NEIGHBOUR METHOD TO ELASTO-PLASTIC PROBLEMS[A];[C];2004
4 Fan Cheng Luan Maotian Li Yong Yang Qing (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024;Institute of Geotechnical Engineering, School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian 116024);A NEW MESHLESS METHOD BASED ON FINITE COVER TECHNIQUE AND KRIGING INTERPOLATION SHEME AND ITS APPLICATION IN SOLID MECHANICS[A];[C];2006
5 Zhao Yunliang~1,Meng Guangwei~2,Zhou Liming~2 1.Jiangsu Xuzhou Construction Machinery Research Institute,Xuzhou 221004,P.R.China 2.College of Mechanical Science and Engineering,Jilin University,Changchun 130022,P.R.China;Structure Reliability Study Based on Element-free Method[A];[C];2009
6 Qi Cao Department of Information Engineering, Zhijiang College Zhejiang University of Technology, Hangzhou, China Shu-wang Du Department of Information Engineering, Zhijiang College Zhejiang University of Technology, Hangzhou, China Tong Zhang Science Department, Zhijiang College Zhejiang University of Technology, Hangzhou, China;The Prospects for Sensor Characteristic Curve Fitting with Moving Least-Squares Method[A];[C];2008
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 QIN Xinqiang 1,2, MA Yichen 1, GONG Chunqiong 2 1School of sciences, Xi'an Jiaotong University, Xi'an 710049, P.R. China 2School of sciences, Xi'an University of technology, Xi'an 710048, P.R. China;Two-grid method for characteristic mixed finite-element solutions of nonlinear convection-diffusion equations[J];重庆大学学报(英文版);2004-01
2 JIA Xiao-feng~(1),HU Tian-yue~(1),WANG Run-qiu~(2)(1.Department of Geophysics,Peking University,Beijing 100871,China;2.School of Resources and Information Technology,University of Petroleum,Beijing 102200,China);Wave equation modeling and imaging by using element-free method[J];Progress in Geophysics;2006-01
3 TAN Yong-ji, WANG Xiao-he, NIU Bao-guo (Institute of Mathematics,Fudan University,Shanghai 200433,China);Solving the Inverse Problem of Determining the Boundary of a Parabolic Equation by Radial Basis Method[J];Journal of Fudan University;2004-03
4 ZHOU Xiao\|Ping, ZHOU Rui\|Zhong (College of Civil Engineering and Architectures, Fuzhou University, Fuzhou, Fujian 350002, China);A Study of Interpolating Function Applied in Element-Free Galerkin Method[J];JOURNAL OF FUZHOU UNIVERSITY(NATURAL SCIENCES EDTION);2000-02
5 ZHOU Xiao-ping (Xiamen Highway Bureau, Xiamen, Fujian 361009, China);Some ideas about further developing Element-Free Galerkin method[J];Journal of Fuzhou University(Natural Sciences Edtion);2001-03
6 ZHANG Wei-xing ; PANG Hui(Qingdao Architectural and Engineering Institute ,Shandong Qingdao 266033);THE ELEMENT-FREE METHOD FOR THE BENDING PROBLEM OF PLATES ON ELASTIC FOUNDATION[J];ENGINEERING MECHANICS;2000-03
7 CHEN Jian , Wu Lin-zhi , DU Shan-yi (Institute of Composite Materials, Harbin Institute of Technology, Harbin 150001);EVALUATING SIF OF FUNCTIONALLY GRADED PLATE WITH AN EDGE CRACK BY ELEMENT-FREE METHOD[J];ENGINEERING MECHANICS;2000-05
8 ZHOU Rui-zhong , ZHOU Xiao-ping , MIAO Yuan-bing (College of Architectural & Civil Engineering, Fuzhou University, Fuzhou 350002);ELEMENT-FREE GALERKIN METHOD WITH ADAPTIVE INFLUENTIAL RADIUS[J];Engineering Mechanics;2001-06
9 LONG Shu-yao1 , CHEN Shen-shen2 (1. Dept of Engineering Mechanics, Hunan University, Changsha 410082; 2. Zhuzhou institute of technology, Zhuzhou 412008);ELEMENT-FREE GALERKIN METHOD FOR ELASTO-PLASTIC PROBLEMS[J];Engineering Mechanics;2003-02
10 ZHOU Rui-zhong , ZHOU Xiao-ping , MIAO Yuan-bing (College of Civil Engineering, Fuzhou University, Fuzhou 350002, China);ELEMENT-FREE GALERKIN METHOD WITH WAVELET BASIS FUNCTION AND ITS APPLICATION IN ENGINEERING[J];Engineering Mechanics;2003-06
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 CHEN Jian , Wu Lin-zhi , DU Shan-yi (Institute of Composite Materials, Harbin Institute of Technology, Harbin 150001);EVALUATING SIF OF FUNCTIONALLY GRADED PLATE WITH AN EDGE CRACK BY ELEMENT-FREE METHOD[J];ENGINEERING MECHANICS;2000-05
2 Long Shuyao;Xu Jingxiao (Department of Engineering Mechanics, Hunan University, Changsha 410082, China);A LOCAL BOUNDARV INTEGRAL EQUATION METHOD FOR THE ELASTICITY PROBLEM[J];ACTA MECHANICA SINICA;2000-05
3 Zhou Weiyuan Kou Xiaodong (Department of Hydraulic Engineering , Tsinghua University, Beijing 100084, China );ELEMENT FREE METHOD AND ITS APPLICATION IN ENGINEERING 1)[J];ACTA MECHANICA SINICA;1998-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved