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杜磊 副教授

2006年本科毕业于大连理工大学数学与应用数学专业,2008年硕士毕业于大连理工大学计算数学专业(导师:于波 教授),2011年博士毕业于日本名古屋大学计算理工学专攻,获博士(工学)学位(导师:张绍良 教授)。后在筑波大学计算机科学专攻从事博士后研究工作(日本技术振兴机构CREST项目资助,合作导师:Prof. SAKURAI Tetsuya)。2014年回国任职于大连理工大学数学科学学院。主要研究内容包括:大型稀疏线性方程组求解、矩阵特征值计算、高性能科学计算等。

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An accurate and efficient acoustic eigensolver based on a fast multipole BEM and a contour integral method

发布时间: 2019-03-13 点击次数:

  • 论文类型:期刊论文
  • 第一作者:Zheng, Chang-Jun
  • 通讯作者:Zhang, CZ (reprint author), Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany.
  • 合写作者:Gao, Hai-Feng,Du, Lei,Chen, Hai-Bo,Zhang, Chuanzeng
  • 收录刊物:SCIE
  • 卷号:305
  • 页面范围:677-699
  • ISSN号:0021-9991
  • 关键字:Acoustic eigenvalue analysis; Boundary element method; Wideband fast multipole method; Contour integral method; Fictitious eigenvalues; Coupling parameter
  • 摘要:An accurate numerical solver is developed in this paper for eigenproblems governed by the Helmholtz equation and formulated through the boundary element method. A contour integral method is used to convert the nonlinear eigenproblem into an ordinary eigenproblem, so that eigenvalues can be extracted accurately by solving a set of standard boundary element systems of equations. In order to accelerate the solution procedure, the parameters affecting the accuracy and efficiency of the method are studied and two contour paths are compared. Moreover, a wideband fast multipole method is implemented with a block IDR(s) solver to reduce the overall solution cost of the boundary element systems of equations with multiple right-hand sides. The Burton-Miller formulation is employed to identify the fictitious eigenfrequencies of the interior acoustic problems with multiply connected domains. The actual effect of the Burton-Miller formulation on tackling the fictitious eigenfrequency problem is investigated and the optimal choice of the coupling parameter as alpha = i/k is confirmed through exterior sphere examples. Furthermore, the numerical eigenvalues obtained by the developed method are compared with the results obtained by the finite element method to show the accuracy and efficiency of the developed method. (C) 2015 Elsevier Inc. All rights reserved.
  • 发表时间:2016-01-15