Matched Asymptotic Expansions of the Eigenvalues of a 3-D boundary-value problem relative to two cavities linked by a hole of small size
Matched Asymptotic Expansions of the Eigenvalues of a 3-D boundary-value problem relative to two cavities linked by a hole of small size
复制标题
相对于由小尺寸孔连接的两个空腔的 3-D 边值问题的特征值的匹配渐近展开
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
S. Tordeux
中科院分区：
文献类型：
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作者：
A. Bendali;M. Fares;A. Tizaoui;S. Tordeux
在许多物理问题中，计算区域的边界是有孔的。当孔的直径确实小于其它特征长度时，这种配置可能导致数值困难。事实上，计算这些问题的精确数值近似解的成本非常高，主要有两个原因：使用有限元或有限差分等标准方法，在孔附近无法避免精细网格;穿孔结构的网格生成可能是一项艰巨的任务。
In a lot of physical problems, the boundary of the computational domain is perforated. This configuration can lead to numerical difficulties when the diameter of the holes are really smaller than the other characteristic lengths. Indeed, it can be very costly to compute a sharp numerical approximation of the solution of such problems for two main reasons: With a standard method like finite elements or finite differences, a refined mesh cannot be avoided in the neighborhood of the hole; the mesh generation of a perforated structure can be a hard task.