Dual reciprocity hybrid boundary node method for nonlinear problems
文献类型：期刊论文
| 作者 | Yan, Fei; Jiang, Quan; Bai, Guo-Feng; Li, Shao-Jun; Li, Yun; Qiao, Zhi-Bin |
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2019 |
| 卷号 | 108页码:385-392 |
| 关键词 | Hybrid boundary node method Particular solution Analog equation Dual reciprocity Nonlinear problem |
| ISSN号 | 0955-7997 |
| DOI | 10.1016/j.enganabound.2019.09.004 |
| 英文摘要 | In this paper, a boundary type meshless method of dual reciprocity hybrid boundary node method (DHBNM) is proposed to solve complicate Poisson type linear and nonlinear problems. Firstly, the solutions are divided into the complementary solutions related to homogeneous equation and the particular solutions solved by nonhomogeneous terms, for the latter, they are approximated by the radial basis function interpolation based on dual reciprocity method, and the complementary solutions are obtained based on simple Poisson's equation by hybrid boundary node method, by which a simple fundamental solution of the Laplacian operator is employed instead of some other complicated ones; then a function of field functions and their derivatives on any point can be easily obtained, employing the concept of the analog equation of Katsikadelis, the field functions and their derivatives can be expressed as the function of unknown series of coefficients, and a series of nonlinear equivalent equations can be established by collocating the original governing equation at discrete points in the interior and on boundary of the domain. As a result, a new meshless method of dual reciprocity hybrid boundary node method is proposed to solve nonlinear Poisson type problems, because of the usage of those techniques, the boundary type meshless properties can be kept for any type of nonlinear equations. Different types of classical nonlinear problems are presented to validate the effectiveness and the accuracy of the present method. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000491217700033 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/14842]  |
| 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.Northeastern Univ, Key Lab Minist Educ Safe Min Deep Met Mines, Shenyang 110819, Liaoning, Peoples R China; 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China; 3.CAS Ctr Excellence Complex Syst Mech, Hefei, Anhui, Peoples R China; 4.China Railway 12 Bur Grp Co Ltd, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Fei,Jiang, Quan,Bai, Guo-Feng,et al. Dual reciprocity hybrid boundary node method for nonlinear problems[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2019,108:385-392. |
| APA | Yan, Fei,Jiang, Quan,Bai, Guo-Feng,Li, Shao-Jun,Li, Yun,&Qiao, Zhi-Bin.(2019).Dual reciprocity hybrid boundary node method for nonlinear problems.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,108,385-392. |
| MLA | Yan, Fei,et al."Dual reciprocity hybrid boundary node method for nonlinear problems".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 108(2019):385-392. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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