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Absorbing boundary conditions for wave propagation in viscoelastic media

✍ Scribed by Dongryeol Kim; Jinsoo Kim; Dongwoo Sheen


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
712 KB
Volume
76
Category
Article
ISSN
0377-0427

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✦ Synopsis


We derive absorbing boundary conditions for viscoelastic waves. Error estimates are given for such absorbing boundary conditions. We treat the problem in the space-frequency domain formulation after taking the Fourier transformation in time. Well-posedness is shown for the elliptic problems thus created, and Fourier invertibility is also proved. We also present some results of numerical simulations.


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## Abstract This paper develops a finite element scheme to generate the spatial‐ and time‐dependent absorbing boundary conditions for unbounded elastic‐wave problems. This scheme first calculates the spatial‐ and time‐dependent wave speed over the cosine of the direction angle using the Higdon's on