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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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