Articles:2023,Vol:28,Issue(2):86-98
Citation:
LI Lei, LIU Bangxian, LIU Jianhua. Modified EFGM for Acoustic Problem[J]. International Journal of Plant Engineering and Management, 2023, 28(2): 86-98

Modified EFGM for Acoustic Problem
LI Lei, LIU Bangxian, LIU Jianhua
Zhenzhou Technical College, Zhengzhou 450121, China
Abstract:
One of the advantages of the element-free Galerkin method (EFGM) is that the shape function can be customized. Variation form of the general acoustic problem is modified by introducing Dirichlet boundary conditions with Lagrange multipliers in the paper. Corresponding to the variation formulation based on EFGM, the discrete equations are obtained. By taking the phase of the wave into account to build the mesh less basis, more exact solution of the acoustic problem is obtained than the traditional EFGM through multiple iterative. The feasibility and validity of this method are validated through a practical instance via self-compiling MATLAB program.
Key words:    EFGM    Helmholtz equation    basis function    phase   
Received: 2023-03-23     Revised:
DOI: 10.13434/j.cnki.1007-4546.2023.0202
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LI Lei
LIU Bangxian
LIU Jianhua

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