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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method
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Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method

机译：用无网格再现核粒子Ritz方法分析二维Sine-Gordon方程

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摘要

We consider an analysis of the non-linear two-dimensional sine-Gordon (SG) equation. The analysis is performed using the mesh-free reproducing kernel particle Ritz method (kp-Ritz method). The mesh-free kernel particle estimate is employed to approximate the 2D displacement field. A system of discrete equations is obtained through application of the Ritz minimization procedure to the energy expressions. To validate the accuracy of the results and stability of the present method, convergence studies were carried out based on influences of support size and number of nodes. The present results were compared with results reported in extant literature and were found to be in good agreement with the literature.
机译：我们考虑分析非线性二维正弦-戈登（SG）方程。使用无网格的再生核粒子里兹法（kp-Ritz法）进行分析。采用无网格核粒子估计来近似二维位移场。通过将Ritz最小化过程应用于能量表达式，可以获得离散方程组。为了验证结果的准确性和本方法的稳定性，基于支撑尺寸和节点数量的影响进行了收敛研究。将本结果与现有文献报道的结果进行比较，发现与文献具有很好的一致性。

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  • 作者

    R.J. Cheng; K.M. Liew;

  • 作者单位

    Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China,Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, Special Administrative Region;

    Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, Special Administrative Region;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    meshless method; mesh-free kp-ritz method; sine-gordon (SG) equation; soliton;

    机译：无网格方法;无网格kp-ritz方法;正弦-戈登（SG）方程;孤子;

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