Numerical study of the three-dimensional wave equation using the mesh-free kp-Ritz method

被引：14

作者：

Liew, K. M. ^{[1
]}

Cheng, R. J. ^{[1
,2
]}

机构：

[1] City Univ Hong Kong, Dept Civil & Architectural Engn, Kowloon, Hong Kong, Peoples R China

[2] Zhejiang Univ, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2013年 / 37卷 / 7-8期

关键词：

Mesh-free kp-Ritz method; Meshless method; Wave equation; Error estimate; Convergence analysis; DIMENSIONAL HYPERBOLIC EQUATION; HEAT-TRANSFER; VARIABLE-COEFFICIENTS; FLEXURAL VIBRATION; PLATES; FORMULATION; SUPPORTS; SUBJECT;

D O I：

10.1016/j.enganabound.2013.04.001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with numerical modeling of three-dimensional linear wave propagation based on the mesh-free kp-Ritz method. The mesh-free kernel particle estimate is employed to approximate the 3D displacement field. A system of discrete equations is obtained through application of the Ritz minimization procedure to the energy expressions. Convergence analysis and error estimates of the kp-Ritz method for three-dimensional wave equation are also presented in the paper. From the error analysis, we found that the error bound between the numerical and the exact solution is directly related to the radii of weight functions and the time step length. Effectiveness of the kp-Ritz method for three-dimensional wave equation is investigated by three numerical examples. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：977 / 989

页数：13

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