Consistent Infinitesimal Finite-Element Cell Method: Three-Dimensional Vector Wave Equation
Consistent Infinitesimal Finite-Element Cell Method: Three-Dimensional Vector Wave Equation
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DOI：
10.1002/(sici)1097-0207(19960715)39:13
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发表时间：
1996-07
影响因子：
2.9
通讯作者：
C. Song;J. Wolf
中科院分区：
文献类型：
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作者：
C. Song;J. Wolf
为了计算无界介质的单位脉冲响应矩阵，用于无界介质-结构相互作用的时间域分析，发展了三维矢量波动方程的一致无穷小有限元方法。这是一个边界有限元程序。离散只在结构-介质界面上进行，空间降维1。该方法径向严格，周向有限元精确。与边界元方法不同的是，一致无穷小有限元方法不需要基本解，并且包含了从结构-介质界面延伸到与相似相容的无限界面，而不需要任何额外的计算工作。可以加工一般的各向异性材料。其推导是基于有限元列式和相似性的。
To calculate the unit-impulse response matrix of an unbounded medium for use in a time-domain analysis of unbounded medium–structure interaction, the consistent infinitesimal finite-element cell method is developed for the three-dimensional vector wave equation. This is a boundary finite-element procedure. The discretization is only performed on the structure–medium interface, yielding a reduction of the spatial dimension by 1. The procedure is rigorous in the radial direction and exact in the finite-element sense in the circumferential directions. In contrast to the boundary-element procedure, the consistent infinitesimal finite-element cell method does not require a fundamental solution and incorporates interfaces extending from the structure–medium interface to infinity compatible with similarity without any additional computational effort. A general anisotropic material can be processed. The derivation is based on the finite-element formulation and on similarity.