Anisotropic mesh quality measures and adaptation for polygonal meshes
多边形网格的各向异性网格质量度量与自适应
作者: Weizhang HuangYanqiu Wang
作者单位: 1Department of Mathematics, The University of Kansas, Lawrence, KS 66045, United States of America
2School of Mathematical Sciences, Nanjing Normal University, Nanjing, China
刊名: Journal of Computational Physics, 2020, Vol.410
来源数据库: Elsevier Journal
DOI: 10.1016/j.jcp.2020.109368
关键词: AnisotropicAdaptive meshPolygonal meshGeneralized barycentric coordinates
原始语种摘要: Abstract(#br)Anisotropic mesh quality measures and adaptation are studied for convex polygonal meshes. Three sets of alignment and equidistribution measures are developed, based on least squares fitting, generalized barycentric mappings, and the singular value decomposition, respectively. Numerical tests show that all three sets of mesh quality measures provide good measurements for the quality of polygonal meshes under given anisotropic metrics. Based on the second set of quality measures and using a moving mesh partial differential equation, an anisotropic adaptive polygonal mesh method is constructed for the numerical solution of second-order elliptic equations. Numerical examples are presented to demonstrate the effectiveness of the method.
全文获取路径: Elsevier  (合作)
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来源刊物:
影响因子:2.138 (2012)

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关键词翻译
关键词翻译
  • polygonal 多角状的
  • measures 层组
  • barycentric 重心的
  • adaptation 适应
  • coordinates 坐标
  • quality 品质
  • anisotropic 非均质的
  • singular 奇异的
  • demonstrate 说明
  • moving 移动