Quasilinear Hybrid Boundary Node Method for Solving Nonlinear Problems
文献类型：期刊论文
| 作者 | Yan, F.1,2; Miao, Y.1; Yang, Q. N.1 |
| 刊名 | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
 |
| 出版日期 | 2009 |
| 卷号 | 46期号:1页码:21-50 |
| 关键词 | meshless method dual reciprocity method hybrid boundary node method quasilinearization method particular solution nonlinear problem |
| ISSN号 | 1526-1492 |
| 英文摘要 | A novel boundary type meshless method called Quasilinear Hybrid Boundary Node Method (QHBNM), which combines quasilinearization method, dual reciprocity method (DRM) and hybrid boundary node method (HBNM), Is developed to solving a class of nonlinear problems. The nonlinear term of the governing equation is linearized by the generated quasi linearization method, in which the solution of the linearized equation can exactly converge to the solution of original equation at a very wide range initial value, and the convergence rate is quadratic. Then dual hybrid boundary node method is applied to solving the linearized equation, in which DRM is introduced into HBNM to deal with the integral for the inhomogeneous terms of the governing equations. The solution in present method is divided into two parts, i.e., the complementary solution and the particular solution. The complementary solution is solved by HBNM, and the particular one is obtained by DRM. In order to get a generated use, the basis form of particular solution is presented in this paper. So a boundary type truly meshless method QHBNM is proposed, which retains all the advantages of BEM of linear problems. It does not require the 'boundary element mesh', either for interpolation of the variables, or for the integration of the 'energy'. The convergence of present iteration scheme is quadratic, and the initial values can be widely chosen. The computation is small in this method, in which only several matrixes are needed to update on each iteration. The numerical examples are presented for several nonlinear problems, for which accurate results, quadratic convergence and high stability can be available. It is shown that present method is effective and can be widely applied in practical engineering. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270418300002 |
| 出版者 | TECH SCIENCE PRESS |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3210]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Huazhong Univ Sci & Technol, Sch Civil Engn & Mech; 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn |
| 推荐引用方式 GB/T 7714 | Yan, F.,Miao, Y.,Yang, Q. N.. Quasilinear Hybrid Boundary Node Method for Solving Nonlinear Problems[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2009,46(1):21-50. |
| APA | Yan, F.,Miao, Y.,&Yang, Q. N..(2009).Quasilinear Hybrid Boundary Node Method for Solving Nonlinear Problems.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,46(1),21-50. |
| MLA | Yan, F.,et al."Quasilinear Hybrid Boundary Node Method for Solving Nonlinear Problems".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 46.1(2009):21-50. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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