| A PRECONDITIONER FOR COUPLING SYSTEM OF NATURAL BOUNDARY ELEMENT AND COMPOSITE GRID FINITE ELEMENT |
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| 作者姓名： | Qi-ya Hu |
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| 作者单位： | Qi-ya Hu (ICMSEC，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，China) De-hao Yu (LSEC，ICMSEC，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，China) |
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| 基金项目： | the Special Funds for State Major Basic Research Projects of China (G19990328)，Knowledge Innovation Program of CAS, the Nat |
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| 摘 要： | 1. IntroductionThe coupling of boundary elemellts and finite elements is of great imPortance for the nu-mercal treatment of boundary value problems posed on unbounded domains. It permits us tocombine the advanages of boundary elements for treating domains extended to infinity withthose of finite elemenis in treating the comP1icated bounded domains.The standard procedure of coupling the boundary elemeni and finite elemeni methods isdescribed as follows. First, the (unbounded) domain is divided…
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A PRECONDITIONER FOR COUPLING SYSTEM OF NATURAL BOUNDARY ELEMENT AND COMPOSITE GRID FINITE ELEMENT |
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| Qi-ya Hu.A PRECONDITIONER FOR COUPLING SYSTEM OF NATURAL BOUNDARY ELEMENT AND COMPOSITE GRID FINITE ELEMENT[J].Journal of Computational Mathematics,2002(2). |
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| Authors: | Qi-ya Hu |
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| Abstract: | In this paper, based on the natural boundary reduction advanced by Feng and Yu, we discuss a coupling BEM with FEM for the Dirichlet exterior problems. In this method the finite element grids consist of fine grid and coarse grid so that the singularity at the corner points can be handled conveniently. In order to solve the coupling system by the preconditioning conjugate gradient method, we construct a simple preconditioner for the "stiffness" matrix. Some error estimates of the corresponding approximate solution and condition numb'er estimate of the preconditioned matrix are also obtained. |
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| Keywords: | Natural boundary reduction Composite grid Error estimate Preconditioner Condition number |
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