Approximation of boundary element matrices
Approximation of boundary element matrices
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DOI：
10.1007/pl00005410
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发表时间：
2000-10
影响因子：
2.1
通讯作者：
M. Bebendorf
中科院分区：
文献类型：
--
作者：
M. Bebendorf
本文考虑的问题近似一般渐近光滑函数在两个变量，通常出现在积分公式的边值问题，由两个函数的产品在一个变量的总和。从这些结果的迭代算法的低秩逼近的大型非结构化矩阵块所产生的渐近光滑的功能。该算法只使用原始块中的少量条目，并且由于它具有自然停止准则，因此不需要预先近似秩。
This article considers the problem of approximating a general asymptotically smooth function in two variables, typically arising in integral formulations of boundary value problems, by a sum of products of two functions in one variable. From these results an iterative algorithm for the low-rank approximation of blocks of large unstructured matrices generated by asymptotically smooth functions is developed. This algorithm uses only few entries from the original block and since it has a natural stopping criterion the approximative rank is not needed in advance.