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- W1980806037 abstract "We incorporated a cell-wise acoustic pressure gradient smoothing operation into the standard compatible finite element method and extended the smoothed finite element method (SFEM) for 2D acoustic problems. This enhancement was especially useful for dealing with the problem of an arbitrary shape with violent distortion elements. In this method, the domain integrals that involve shape function gradients can be converted into boundary integrals that involve only shape functions. Restrictions on the shape elements can be removed, and the problem domain can be discretized in more flexible ways. Numerical results showed that the proposed method achieved more accurate results and higher convergence rates than the corresponding finite element methods, even for violently distorted meshes. The most promising feature of SFEM is its insensitivity to mesh distortion. The superiority of the method is remarkable, especially when solving problems that have high wave numbers. Hence, SFEM can be beneficially applied in solving two-dimensional acoustic problems with severely distorted elements, which, in practice, have more foreground than regularity mesh." @default.
- W1980806037 created "2016-06-24" @default.
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- W1980806037 date "2010-08-01" @default.
- W1980806037 modified "2023-10-18" @default.
- W1980806037 title "Numerical treatment of acoustic problems with the smoothed finite element method" @default.
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- W1980806037 doi "https://doi.org/10.1016/j.apacoust.2010.03.006" @default.
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