Parallel iterative solvers for sparse linear systems in circuit simulation

被引:12
|
作者
Basermann, A [1 ]
Jaekel, U [1 ]
Nordhausen, M [1 ]
Hachiya, K [1 ]
机构
[1] NEC Europe Ltd, C&C Res Labs, D-53757 St Augustin, Germany
关键词
parallel iterative solver; circuit simulation; system reduction; preconditioning; partitioning; reordering;
D O I
10.1016/j.future.2004.09.007
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
For the solution of sparse linear systems from circuit simulation whose coefficient matrices include a few dense rows and columns, a parallel iterative algorithm with distributed Schur complement preconditioning is presented. The parallel efficiency of the solver is increased by transforming the equation system into a problem without dense rows and columns as well as by exploitation of parallel graph partitioning methods. The costs of local, incomplete LU decompositions are decreased by fill-in reducing reordering methods of the matrix and a threshold strategy for the factorization. The efficiency of the parallel solver is demonstrated with real circuit simulation problems on PC clusters. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:1275 / 1284
页数:10
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