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Absorbing boundary conditions for wave propagation in viscoelastic media. (English) Zbl 0864.73020

Summary: 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.

MSC:

74J10 Bulk waves in solid mechanics
74Hxx Dynamical problems in solid mechanics
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