A Daubechies wavelet-based method for elastic problems

Liu, Yanan; Qin, Feifei; Liu, Yinhua; Cen, Zhangzhi

doi:10.1016/j.enganabound.2009.08.004

Cited by 28 publications

(20 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These spaces will be used to approximate the solutions of partial differential equations [10] using the Galerkin method [2,4,9].…”

Section: Dmentioning

confidence: 99%

“…Through the meshless galerkin method, produce discrete model of DB wavelet meshless method for Poisson equation. Because of space limitations, don't introduce integration method, please refer to [4]. Due to the lack of Kroneker delta properties in scaling functions, using penalty function method to dispose imposition of boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Daubechies wavelet meshless method of numerical calculation in the electromagnetic field

Liu

Xia

Kai³

et al. 2011

2011 International Conference on Multimedia Technology

View full text Add to dashboard Cite

In this paper, Daubechies (DB) wabelet scaling functions are used as basic function in function approximation by using DB wavelet properties, neither nodes nor meshes are needed. This method is simple and easy application, combining meshless galerkin method, DB wavelet meshless method is used for numerical calculation in electromagnetic field. The discrete model is established. Numerical example shows that DB wavelet meshless method is effective and stable.

show abstract

“…These spaces will be used to approximate the solutions of partial differential equations [10] using the Galerkin method [2,4,9].…”

Section: Dmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Daubechies wavelet meshless method of numerical calculation in the electromagnetic field

Liu

Xia

Kai³

et al. 2011

2011 International Conference on Multimedia Technology

View full text Add to dashboard Cite

show abstract

“…Similar to the method developed by Liu et al [31] and the wavelet-Galerkin method, the DB wavelet scaling functions are directly used to approximate the unknown field functions instead of constructing shape functions as done in FEM and meshless methods. Because no meshes and nodes are needed in function approximation, the DB wavelet-based method is also totally free from the mesh distortion issues.…”

Section: Introductionmentioning

confidence: 99%

The 2D large deformation analysis using Daubechies wavelet

et al. 2009

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Some special formulae about computation of these wavelets [12,13] can only be used for problems on simple domains. The DB wavelet-based method [14][15][16] can simulate complicated deformation. However, the computational efficiency of this method is relatively low because of the complexity of DB wavelet.…”

Section: Introductionmentioning

confidence: 99%