Fast Algorithms of Parallel Finite Element Method Based on Domain Decomposition

doi:10.3969/j.issn.0372-2112.2019.03.032

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Fast Algorithms of Parallel Finite Element Method Based on Domain Decomposition

更新时间：2025-07-02

- Fast Algorithms of Parallel Finite Element Method Based on Domain Decomposition
- Acta Electronica Sinica Vol. 47, Issue 3, Pages: 741-747(2019)
- 作者机构：
  
  1. 中物院高性能数值模拟软件中心,北京,100088
  2. 北京应用物理与计算数学研究所一室,北京,100088
  3. 中物院高性能数值模拟软件中心,北京,100088
  4. 北京应用物理与计算数学研究所一室,北京,100088
- 作者简介：
- 基金信息：
  
  China Academy of Engineering Physics Innovation and Development Fund (No.CX2019034);National Natural Science Foundation of China (No.61431014, No.61771061);Joint Fund of National Natural Science Foundation of China (No.U1730102);The Defense Basic Science Challenge Program (No.JCKY2016212A502)
- DOI：10.3969/j.issn.0372-2112.2019.03.032
  CLC： TP319
- Published Online：25 March 2019，
  
  Published：2019
- 稿件说明：
移动端阅览
Fast Algorithms of Parallel Finite Element Method Based on Domain Decomposition[J]. Acta Electronica Sinica, 2019, 47(3): 741-747.
DOI：

Fast Algorithms of Parallel Finite Element Method Based on Domain Decomposition[J]. Acta Electronica Sinica, 2019, 47(3): 741-747. DOI： 10.3969/j.issn.0372-2112.2019.03.032.

摘要

区域分解方法是近来发展迅速的有限元求解方法之一.基于有限元区域分解方法以及多重网格的思想，我们研究了自适应求解以及离散扫频快速算法，并采用自主研发的高性能计算并行框架，将基于区域分解的大规模并行有限元快速算法进行了实现，并行规模能够扩展到数万CPU 核.我们在文中将展示程序的核心架构，以及如何采用多重网格算法的思想实现有效的粗网格校正技术，从而实现有限元线性系统的多次快速求解，加速自适应求解和离散扫频.最后，对算法进行了准确性验证以及大规模并行测试.

Abstract

DDM (Domain Decomposition Method) is one of the most quickly developed methods in recent years.We investigate the fast solving techniques of adaptive refinement and discrete frequency sweep based on DDM.Besides

an in-house developed infrastructure is used to implement the proposed algorithms

which is able to scale to tens of thousands of CPU cores.We demonstrate the architecture and main features of the program.Then

the DDM

p-adaptive strategy and fast frequency sweep techniques are discussed as well to show how to solve the finite element linear systems quickly.Several numerical examples are presented to demonstrate its accuracy

parallel efficiency and capability in electromagnetic applications.

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