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| A DOMAIN DECOMPOSITION ALGORITHM WITH FINITE ELEMENT-BOUNDARY ELEMENT COUPLING | |
| 作者姓名： | 严波 杜娟 胡宁 关根英树 |
| 作者单位： | Department of Engineering Mechanics Chongqing University Chongqing 400030，P. R. China，Department of Engineering Mechanics Chongqing University，Chongqing 400030，P. R. China，Department of Engineering Mechanics Chongqing University，Chongqing 400030，P. R. China，Department of Aerospace Engineering，Tohoku University，Sendai 980-8579，Japan，Department of Aerospace Engineering Tohoku University，Sendai 980-8579，Japan |
| 摘 要： | A domain decomposition algorithm coupling the finite element and the boundary element was presented. It essentially involves subdivision of the analyzed domain into sub-regions being independently modeled by 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 convergence 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 consistence 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. |
| 关 键 词： | 有限元法 边界元法 有限元-边界元耦合 分解域 |
| 收稿时间： | 2004-12-09 |
| 修稿时间： | 2005-12-05 |
A domain decomposition algorithm with finite element-boundary element coupling |
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| Professor Bo Yan Doctor,Juan Du,Ning Hu,Hideki Sekine.A DOMAIN DECOMPOSITION ALGORITHM WITH FINITE ELEMENT-BOUNDARY ELEMENT COUPLING[J].Applied Mathematics and Mechanics(English Edition),2006,27(4):519-525. | |
| Authors: | Professor Bo Yan Doctor Juan Du Ning Hu Hideki Sekine |
| Institution: | 1. Department of Engineering Mechanics, Chongqing University, Chongqing 400030, P. R. China 2. Department of Engineering Mechanics, Chongqing University, Chongqing 400030, P. R. China;Department of Aerospace Engineering, Tohoku University, Sendai 980-8579, Japan 3. Department of Aerospace Engineering, Tohoku University, Sendai 980-8579, Japan |
| Abstract: | A domain decomposition algorithm coupling the finite element and the boundary element was presented. It essentially involves subdivision of the analyzed domain into sub-regions being independently modeled by 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 convergence 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 consistence 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. |
| Keywords: | finite element method boundary element method finite element-boundaryelement coupling domain decomposition |
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