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A New Method for Minimizing the Bandwidth and Profile of Square Matrices for Triangular Finite Elements Mesh

机译:最小化三角形有限元网格平方矩阵的带宽和轮廓的新方法

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摘要

The authors present a new efficient node's numbering method for minimizing the bandwidth and the profile of the stiffness matrix for Cholesky's solving of triangular finite element problems. This method is applied for renumbering the mesh nodes. It is suitable for movement consideration in electrical machines modelling using the moving band method. This method has a simple formulation and is easy to implement, and its performances are compared to those provided by the Gibbs, Poole, and Stockmeyer (GPS) method.
机译:作者提出了一种新的有效节点编号方法,用于最小化带宽和刚度矩阵的轮廓,从而解决了Cholesky的三角有限元问题。此方法适用于对网格节点重新编号。它适用于使用移动带方法进行电机建模的移动考虑。该方法公式简单,易于实现,其性能与Gibbs,Poole和Stockmeyer(GPS)方法提供的性能相比。

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