A dissection solver with kernel detection for symmetric finite element matrices on shared memory computers
A dissection solver with kernel detection for symmetric finite element matrices on shared memory computers
复制标题
具有共享内存计算机上对称有限元矩阵内核检测功能的解剖求解器
DOI：
10.1002/nme.4729
复制
发表时间：
2014
影响因子：
2.9
通讯作者：
François
中科院分区：
文献类型：
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作者：
Atsushi Suzuki;François
提出了一个来自有限元问题的对称稀疏材料的直接求解器。计算机具有内核检测的能力。通过1 x 1和2 x 2的旋转旋转和强大的内核检测算法，基于对预期图像空间的正交投影的残差测量值。可以有效地使用3级BLAS例程。数字实验。
A direct solver for symmetric sparse matrices from finite element problems is presented. The solver is supposed to work as a local solver of domain decomposition methods for hybrid parallelization on cluster systems of multi‐core CPUs, and then it is required to run on shared memory computers and to have an ability of kernel detection. Symmetric pivoting with a given threshold factorizes a matrix with a decomposition introduced by a nested bisection and selects suspicious null pivots from the threshold. The Schur complement constructed from the suspicious null pivots is examined by a factorization with 1 × 1 and 2 × 2 pivoting and by a robust kernel detection algorithm based on measurement of residuals with orthogonal projections onto supposed image spaces. A static data structure from the nested bisection and a block sub‐structure for Schur complements at all bisection levels can use level 3 BLAS routines efficiently. Asynchronous task execution for each block can reduce idle time of processors drastically, and as a result, the solver has high parallel efficiency. Competitive performance of the developed solver to Intel Pardiso on shared memory computers is shown by numerical experiments. Copyright © 2014 John Wiley & Sons, Ltd.
M.Sokabe：“探讨拉伸激活通道中门控的分子机制。In Comparative Aspects of Mechanoreceptor Systems(Ed.F.Ito)pp55-77”Springer Verlag，309 (1992)
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