无网格局部Petrov-Galerkin方法的并行计算研究  

Parallel computing of Meshless Local Petrov-Galerkin(MLPG) method

作　　者：曾清红[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100094

出　　处：《计算力学学报》2012年第2期205-209,216,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11001026);中物院科技发展基金(2011B0202041);国家863高技术惯性约束聚变主题资助项目

摘　　要：研究了无网格局部Petrov-Galerkin方法MLPG(Meshless Local Petrov-Galerkin Method)的并行算法与并行实现过程。将MLPG方法推广到弹性动力学问题,研究了MLPG方法中节点搜索、积分点搜索、数值积分及方程组求解等过程的并行算法,并给出了MLPG方法并行计算的具体实现过程。两个数值算例验证了MLPG并行算法的有效性;计算结果表明,MLPG方法的并行计算具有很好的并行性能和可扩展性。The parallel algorithms and parallel implementation of meshless local Petrov-Galerkin（MLPG） method for elastodynamics analysis are presented.The application of MLPG method to elastodynamics problems was first presented,then the parallel algorithms for MLPG method,including nodal search,quadrature points search,numercial integration,and the solution of system of equations were proposed in detail.The parallelization implementation of MLPG method was also demonstrated.Two model problems have been solved to validate the presented algorithms,and numerical results show the excellent parallel performance of MLPG method for elastodynamics analysis.

关 键 词：无网格局部PETROV-GALERKIN方法 并行计算 弹性动力学 负载平衡 

分 类 号：O242.2[理学—计算数学]