The 2D large deformation analysis using Daubechies wavelet | |
Liu, Yanan ; Qin, Fei ; Liu, Yinghua ; Cen, Zhangzhi | |
2010-10-12 ; 2010-10-12 | |
关键词 | Wavelet-Galerkin method DB wavelet Scaling function Large deformation KERNEL PARTICLE METHODS PARTIAL-DIFFERENTIAL-EQUATIONS MULTISCALE GALERKIN METHOD COLLOCATION METHOD ELLIPTIC PROBLEMS FINITE-ELEMENT CONSTRUCTION DYNAMICS DOMAINS Mathematics, Interdisciplinary Applications Mechanics |
中文摘要 | In this paper, Daubechies (DB) wavelet is used for solution of 2D large deformation problems. Because the DB wavelet scaling functions are directly used as basis function, no meshes are needed in function approximation. Using the DB wavelet, the solution formulations based on total Lagrangian approach for two-dimensional large deformation problems are established. Due to the lack of Kroneker delta properties in wavelet scaling functions, Lagrange multipliers are used for imposition of boundary condition. Numerical examples of 2D large deformation problems illustrate that this method is effective and stable. |
语种 | 英语 ; 英语 |
出版者 | SPRINGER ; NEW YORK ; 233 SPRING ST, NEW YORK, NY 10013 USA |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/78988] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Liu, Yanan,Qin, Fei,Liu, Yinghua,et al. The 2D large deformation analysis using Daubechies wavelet[J],2010, 2010. |
APA | Liu, Yanan,Qin, Fei,Liu, Yinghua,&Cen, Zhangzhi.(2010).The 2D large deformation analysis using Daubechies wavelet.. |
MLA | Liu, Yanan,et al."The 2D large deformation analysis using Daubechies wavelet".(2010). |
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