Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.
Citation:
Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.
Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.
Citation:
Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.
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.
DownLoad: