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Transmitting boundaries: A closed-form comparison

DEPARTMENT OF CIVIL ENGINEERING MASSACHUSETTS INSTITUTE OF TECHNOLOGY, CAMBRIDGE, MASSACHUSETTS 02139

Abstract

Several transmitting boundaries which have been proposed for the numerical analysis of problems of wave propagation in continua of infinite extent are reviewed. They are grouped into three broad classes: (1) elementary boundaries (Dirichlet or Neumann boundary conditions); (2) highly absorbing local boundaries; and (3) consistent transmitting boundaries. A closed-form comparison for the problem of time-harmonic antiplane line load on a stratum shows that elementary boundaries produce strong reflections, local boundaries have good absorption characteristics, and consistent transmitting boundaries are perfect absorbers.

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