数学物理学报 ›› 2012, Vol. 32 ›› Issue (5): 928-940.

• 论文 • 上一篇    下一篇

抛物问题间断Galerkin区域分解方法

芮洪兴1|廉西猛2   

  1. 1.宁夏大学数学计算机学院 银川 750014|山东大学数学学院 济南 250100;2.胜利油田物探院 山东东营 257002
  • 收稿日期:2010-09-10 修回日期:2012-02-08 出版日期:2012-10-25 发布日期:2012-10-25
  • 基金资助:

    国家自然科学基金(11171190)资助

A Discontinuous Galerkin Domain Decomposition Method for Parabolic Problems

 RUI Hong-Xing1, LIAN Xi-Meng2   

  1. 1.School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021; School of Mathematics, Shandong University, Jinan 250100;2.Geophysical Research Institute of Shengli Oilfield Branch Company, SINOPRC, Shandong Dongying 257002
  • Received:2010-09-10 Revised:2012-02-08 Online:2012-10-25 Published:2012-10-25
  • Supported by:

    国家自然科学基金(11171190)资助

摘要:

对一类抛物问题给出了间断Galerkin区域分解并行算法. 该方法兼有间断Galerkin方法和区域分解算法的优点. 文章证明了算法的稳定性和收敛性.
给出的数值试验表明了算法的稳定性和精度.

关键词: 间断Galerkin方法, 区域分解, 稳定性, 误差估计

Abstract:

In this paper, a parallel algorithm is developed based on the discontinuous Galerkin method for parabolic problems, where the domain decomposition method is used. The algorithm preserves the advantages of both the discontinuous Galerkin method and the domain decomposition method. Stability and convergence are discussed. Numerical examples are given to verify the stability and accuracy of the method.

Key words: Discontinuous Galerkin method,  Domain decomposition, Stability, Error estimate

中图分类号: 

  • 49J20