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The combination of the boundary element method and the numerical manifold method for potential problems

机译:边界元法与数值流形方法的结合

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摘要

In this study, a boundary element method coupled with numerical manifold method is developed for solving potential problems in two dimension. This approach combines an equivalent variational form of a boundary integral equation with the finite cover approximations for generating the trial and test functions of the variational formulation. This method exploits the reduced dimensionality advantages of the BEM, and is especially suited for the problems with an unbounded domain. Since the local cover function can be chosen in the covers arbitrarily, the method provides flexibility to use different cover functions for different covers and increases the solution accuracy without any local mesh refinement, and the p-adaptive analysis can also be performed conveniently. The validity and efficiency of the present method are demonstrated by some numerical examples of potential problems.
机译:在这项研究中,开发了一种边界元方法与数值流形方法相结合来解决二维中的潜在问题。这种方法将边界积分方程的等效变体形式与有限覆盖近似值结合起来,以生成变分公式的试验和测试函数。该方法利用了BEM的降维优势,特别适合于无界域的问题。由于可以在封面中任意选择局部封面功能,因此该方法提供了灵活性,可以针对不同的封面使用不同的封面功能,并且无需任何局部网格细化即可提高求解精度,并且还可以方便地执行p自适应分析。通过一些潜在问题的数值例子证明了本方法的有效性和有效性。

著录项

  • 来源
  • 作者

    Fei Tan; Yu-Yong Jiao;

  • 作者单位

    Faculty of Engineering, China University of Geosciences, Wuhan 430074, China,State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;

    Faculty of Engineering, China University of Geosciences, Wuhan 430074, China,State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;

  • 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

    Boundary integral equations; Numerical manifold method; Finite cover approximation; Manifold element; p-adaptive analysis;

    机译:边界积分方程;数值流形方法;有限覆盖近似歧管元素;自适应分析;

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