• dispersion and pollution of the improved meshless weighted least-square (imwls) solution for the helmholtz equation

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 722
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     the meshless weighted least-square (mwls) method is a meshless method based on the moving least-square (mls) approximation. compared with the galerkin based meshless methods, the mwls avoids numerical integrations, which improves the computational efficiency significantly. the mls may form ill-conditioned system of equations, an accurate solution of which is difficult to obtain. in this paper, by using the weighted orthogonal basis function to construct the improved moving least-square (imls) approximation and the lagrange multiplier method to enforce the dirichlet boundary condition, we derive the formulas and perform the dispersion analysis for an improved meshless weighted least-square (imwls) method for two-dimensional (2d) helmholtz problems. results demonstrated that the imwls is more accurate and has advantages in handling dispersion. a 2d industrial model problem illustrated that the proposed method can easily reach higher frequency without losing accuracy.

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