312 数千万自由度を対象とした大規模並列固有値ソルバー(MEMSの計測・モデリング・マルチフィジックスシミュレーション(3),OS03 MEMSの計測・モデリング・マルチフィジックスシミュレーション)

Abstract

We are developing a parallel eigenvalue solver for complicated large-scale problems which can be applied to MEMS. For 5,000,000 shell elements i.e. 30,000,000 degrees of freedom, 5000 eigenvalues and eigenvectors can be obtained by this solver in several hours by using a parallel computer with 16processors and 8GB memory for each processor. In our algorithms, multi-level mode synthesis techniques that subdivide the structure into numerous sub domains are applied. This method is suitable for parallel computation. In this report, the algorithm of this eigensolver and parallel programming technique (speedup technique and memory usage) is described.