YAN Bo, DU Juan, HU Ning, Sekine Hideki. A Domain Decomposition Algorithm With Finite Element-Boundary Element Coupling[J]. Applied Mathematics and Mechanics, 2006, 27(4): 463-469.
Citation: YAN Bo, DU Juan, HU Ning, Sekine Hideki. A Domain Decomposition Algorithm With Finite Element-Boundary Element Coupling[J]. Applied Mathematics and Mechanics, 2006, 27(4): 463-469.

A Domain Decomposition Algorithm With Finite Element-Boundary Element Coupling

  • Received Date: 2004-12-09
  • Rev Recd Date: 2005-12-05
  • Publish Date: 2006-04-15
  • A domain decomposition algorithm coupling the finite element and the boundary element is presented.It essentially involves subdivision of the analyzed domain into sub-regions being indepen dently modeled by the two methods,i.e.,the finite element method (FEM) and the boundary element method(BEM).The original problem was restored with continuity and equilibrium conditions being satisfied on the interface of the two sub-regions using an iterative algorithm.To speed up the conver gence rate of the iterative algorithm,a dynamically changing relaxation parameter during iteration was introduced.An advantage of the proposed algorithm is that the locations of the nodes on the interface of the two sub-domains can be inconsistent.The validity of the algorithm is demonstrated by the con sistence of the results of a numerical example obtained by the proposed method and those by the FEM,the BEM and a present finite element-boundary element (FE-BE) coupling method.
  • loading
  • [1]
    Zienkiewicz O C,Kelly D W,Bettes P.Coupling of finite element and boundary solution procedures[J].Internat J Numer Meth Engng,1977,11(2):355—375. doi: 10.1002/nme.1620110210
    [2]
    Brebbia C A, Georgion P.Combination of boundary and finite elements in elastostatics[J].Appl Math Mode,1979,3(1):212—220. doi: 10.1016/0307-904X(79)90053-2
    [3]
    Varadarajan A,Sharma K G,Sinch R B.Some aspects of coupled FEBEM analysis of underground openings[J].Internat J Numer Anal Meth Geomech,1985,9(6):557—571. doi: 10.1002/nag.1610090605
    [4]
    Beer G, Swoboda G.Applicaion of advanced boundary element and coupled methods in geomechanics[A].In:Cruse T A Ed.Advanced Boundary Element Methods[C].Berlin:Springer, 1987,19—28.
    [5]
    HONG Chi-an. Stress analysis of a U-frame structure by the coupling of boundary and finite element methods[D]. Ph D dissertation.Stillwater:Oklahoma State University, 1986.
    [6]
    Zarco M A. Solution of soil-structure interaction problems by coupled boundary element-finite element method[D].Ph D dissertation.Blacksburg: Virginia Polytechnic Institute and State University, 1993.
    [7]
    Kelly D W,Mustoe G,Zienkiewicz O C.Coupling boundary element methods with other numerical methods[A].In:Banerijee P K,Buttefield R,Eds.Developments in Boundary Element Methods[C].1.Chap 10.London: Applied Science, 1979.
    [8]
    Hsiao G C.The Coupling of BEM and FEM-A Brief Review[M].Boundary Elements Ⅹ,Southampton:Computational Mechanics, 1988,431—445.
    [9]
    Prasad N N V. Integrated techniques for coupled elastostatic BEM and FEM analysis[D].Master thesis.Albuquerque: The University of New Mexico, 1992.
    [10]
    Lin C C. An iterative finite element-boundary element algorithm[J].Computers & Structures,1996,59(5):899—909.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (3045) PDF downloads(496) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return