High-order absorbing boundaries: recent extensions and improvements

Abstract eng:
Recently new finite element formulations have been proposed which involve highorder Absorbing Boundary Conditions (ABCs) for the solution of exterior time-dependent wave problems. In the first part of this talk the general subject will be briefly reviewed and the proposed approach will be discussed and contrasted with other approaches, such as the Perfectly Matched Layer (PML). In the second part of the talk the high-order Hagstrom-Warburton (HW) ABCs will be presented, and recent extensions and improvements related to them will be discussed and demonstrated. These include, among other things, the application of the ABCs to stratified and anisotropic media, their use in one-way nesting schemes, and their incorporation in spectral-element schemes. Difficulties that are encountered in extending these ideas to elastic waves will also be discussed.

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