A fast solution method for three-dimensional many-particle problems of linear elasticity

A boundary element method for solving three‐dimensional linear elasticity problems that involve a large number of particles embedded in a binder is introduced. The proposed method relies on an iterative solution strategy in which matrix–vector multiplication is performed with the fast multipole meth...

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Bibliographic Details
Published inInternational journal for numerical methods in engineering Vol. 42; no. 7; pp. 1215 - 1229
Main Authors Fu, Yuhong, Klimkowski, Kenneth J., Rodin, Gregory J., Berger, Emery, Browne, James C., Singer, Jürgen K., Van De Geijn, Robert A., Vemaganti, Kumar S.
Format Journal Article
LanguageEnglish
Published New York John Wiley & Sons, Ltd 15.08.1998
Subjects
boundary element method
fast multipole method
iterative solution strategy
linear elasticity
many-particle problem
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Summary:A boundary element method for solving three‐dimensional linear elasticity problems that involve a large number of particles embedded in a binder is introduced. The proposed method relies on an iterative solution strategy in which matrix–vector multiplication is performed with the fast multipole method. As a result the method is capable of solving problems with N unknowns using only 𝒪(N) memory and 𝒪(N) operations. Results are given for problems with hundreds of particles in which N=𝒪(105). © 1998 John Wiley & Sons, Ltd.
Bibliography:istex:DFA5BAFA2587B5EE998B1029AC7226FDFFA0E0C6
National Science Foundation - No. ECS-9422 707
ArticleID:NME406
ark:/67375/WNG-QK9G2RT3-D
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/(SICI)1097-0207(19980815)42:7<1215::AID-NME406>3.0.CO;2-5