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.


74J10 Bulk waves in solid mechanics
74Hxx Dynamical problems in solid mechanics
Full Text: DOI


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