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A Geometric Mapping Cross Approximation method
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DOI：10.1016/j.enganabound.2013.10.003.png)
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The matrices of Boundary Element Method (BEM) are fully populated and require special compression techniques for the efficient treatment. In this article, the H-matrix representation is used to approximate the dense stiffness matrix in admissible blocks by low-rank matrices. This paper presents a Geometric Mapping Cross Approximation (GMCA) algorithm to compute the low-rank matrices. Compared with the Adaptive Cross Approximation (ACA), the GMCA determines the skeleton points from the two interacting groups of nodes by their spacing characteristics directly and, thus, has a remarkable non-iterative nature and requires some simple geometric transformations, only. Numerical examples show that the new algorithm is feasible. (C) 2013 Elsevier Ltd. All rights reserved.
Keyword:
H-matrix
Low-rank matrices
Adaptive Cross Approximation
Skeleton point
Geometric mapping
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