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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (1): 85-89.

• 论文 • 上一篇    下一篇

THE BEM FOR SOLVING THE NONHOMOGENEOUS HELMHOLTZ EQUATION WITH VARIABLE COEFFICIENTS

王守信1, 刘喜平1, 彭天国1, 赵忠生2, 赵素华2   

  1. 1. Northeast Heavy Machinery Institute, Qiqihaer 161000, P. R. China;
    2. Liaoning University, Shenyang 110036, P. R. China
  • 收稿日期:1994-11-11 出版日期:1996-01-18 发布日期:1996-01-18

THE BEM FOR SOLVING THE NONHOMOGENEOUS HELMHOLTZ EQUATION WITH VARIABLE COEFFICIENTS

Wang Shouxin1, Liu Xiping1, Peng Tianguo1, Zhao Zhongsheng2, Zhao Suhua2   

  1. 1. Northeast Heavy Machinery Institute, Qiqihaer 161000, P. R. China;
    2. Liaoning University, Shenyang 110036, P. R. China
  • Received:1994-11-11 Online:1996-01-18 Published:1996-01-18

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摘要： Considering the fundamental solution of the Laplace equation as the weight function,we give the iterative format for solving the nonhomogeneous Helmholtz equation with variable coefficients. Furthermore, the iteration method of BEM for solving the equation mentioned above is obtained. The numerical example is given in this paper. Finally, the iteration method of BUM mentioned above is compared with the coupled method of BEM that was presented before then by authors.

Abstract: Considering the fundamental solution of the Laplace equation as the weight function,we give the iterative format for solving the nonhomogeneous Helmholtz equation with variable coefficients. Furthermore, the iteration method of BEM for solving the equation mentioned above is obtained. The numerical example is given in this paper. Finally, the iteration method of BUM mentioned above is compared with the coupled method of BEM that was presented before then by authors.

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