Perfectly Matched Layers for Time-Harmonic Second Order Elliptic Problems
نویسندگان
چکیده
منابع مشابه
Perfectly Matched Layers for time-harmonic second order elliptic problems
The main goal of this work is to give a review of the Perfectly Matched Layer (PML) technique for time-harmonic problems. Precisely, we focus our attention on problems stated in unbounded domains, which involve second order elliptic equations writing in divergence form and, in particular, on the Helmholtz equation at low frequency regime. Firstly, the PML technique is introduced by means of a s...
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Numerical simulation of propagating waves in unbounded spatial domains is a challenge common to many branches of engineering and applied mathematics. Perfectly matched layers (PML) are a novel technique for simulating the absorption of waves in open domains. The equations modeling the dynamics of phenomena of interest are usually posed as differential equations (or integral equations) which mus...
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We present a well-posed and discretely stable perfectly matched layer for the anisotropic (and isotropic) elastic wave equations without first re-writing the governing equations as a first order system. The new model is derived by the complex coordinate stretching technique. Using standard perturbation methods we show that complex frequency shift together with a chosen real scaling factor ensur...
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ژورنال
عنوان ژورنال: Archives of Computational Methods in Engineering
سال: 2010
ISSN: 1134-3060,1886-1784
DOI: 10.1007/s11831-010-9041-6