Web8 de jul. de 2015 · In this paper we give new results on domain decomposition preconditioners for GMRES when computing piecewise-linear finite-element approximations of the Helmholtz equation $-Δu - (k^2+ {\\rm i} \\varepsilon)u = f$, with absorption parameter $\\varepsilon \\in \\mathbb{R}$. Multigrid approximations of this equation with … WebWe propose fast multiscale Gaussian wavepacket transforms and introduce a highly efficient algorithm for generating the multiscale beam representation for a general initial condition. Starting from this multiscale decomposition of initial data, we propose the multiscale Gaussian beam method for solving the wave equation.

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WebPalavras-chave: salas pequenas, baixas frequências, absorção sonora, ressoador de Helmholtz, ajustável. Abstract In rooms with volumes lower than 50 m3, the use of sound sources with high energy content in the low frequency range yields typically modal responses, with high spatial and spectral variability of sound pressure. Web5 de jan. de 2002 · We consider the high frequency Helmholtz equation with a variable refraction index $n^2 (x)$ ($x \in \R^d$), supplemented with a given high frequency source term supported near the origin $x=0$. A… Expand 3 PDF View 2 excerpts, cites background ... 1 2 3 ... References SHOWING 1-10 OF 14 REFERENCES SORT BY Sur les … thread contact

Acoustic multi-layer Helmholtz resonance metamaterials with …

WebIn this work we construct Gaussian beam approximations to solutions of the high frequency Helmholtz equation with a localized source. Under the assumption of … Webhigh frequency problems accurately is a very computationally expensive task. This is linked to the fact that as the frequency increases, the Helmholtz operator has additional … Webtimation of the dominant wave directions, which can be used to improve the high-frequency wave eld iteratively. If necessary, the solution for the high-frequency Helmholtz equation can also be processed by NMLA to improve the estimation of local dominant wave direc-tions which can be used to further improve the high-frequency solution. 1.2. thread connectwise