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• W2017259663 abstract "A general class of 3D perfectly matched, i.e., reflectionless, Cartesian embeddings (perfectly matched layers in the three coordinate directions) is analyzed with the aid of a combined time-domain Green's function technique and a time-domain, causality-preserving, Cartesian coordinate stretching procedure. It is shown that, for an unbounded embedding of the specified class, the wavefield is, in any 3-rectangular computational solution domain, reproduced exactly. The spurious reflection caused by a (computationally necessary) truncation of the embedding is analyzed as a function of layer thicknesses and their coordinate stretching relaxation functions. A time-domain uniqueness proof for the solution to the truncated embedding problem is provided and a numerical illustration is given for a test case with known analytical solution. For such cases, the pure space-time discretization errors can be separated from the disturbance caused by the spurious reflection. For the second-order coordinate stretched wave equation an equivalent system of first-order equations is presented." @default.
• W2017259663 created "2016-06-24" @default.
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• W2017259663 date "2007-01-01" @default.
• W2017259663 modified "2023-09-25" @default.
• W2017259663 title "The 3D wave equation and its Cartesian coordinate stretched perfectly matched embedding – A time-domain Green’s function performance analysis" @default.
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• W2017259663 doi "https://doi.org/10.1016/j.jcp.2006.06.018" @default.
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