| Abstract: |
| This talk focuses on the simulation of nonlocal wave propagations in unbounded multi-scale mediums. To this end, we consider two folds: (a) the design of artificial/absorbing boundary conditions; and (b) the construction of an asymptotically compatible (AC) scheme for nonlocal operator with general kernel. The design of ABCs facilitates us to reformulate the problem on unbounded domains into a problem on bounded domains, which is useful to reduce the computational cost. The construction of AC scheme facilitates us that the simulations of nonlocal wave propagations in multi-scale mediums are valid. With the proposed ABCs and AC scheme, wave propagation behaviors in the ``local and nonlocal mediums are investigated through three numerical examples. Furthermore, accuracy of our approach is also validated. |
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