An Analysis of Higher Order Boundary Conditions for the Wave Equation

نویسندگان

  • Julien Diaz
  • Patrick Joly
چکیده

Thanks to the use of the Cagniard–De Hoop method, we derive an analytic solution in the time domain for the half-space problem associated with the wave equation with Engquist– Majda higher order boundary conditions. This permits us to derive new convergence results when the order of the boundary condition tends to +∞, as well as error estimates. The theory is illustrated by numerical results.

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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 65  شماره 

صفحات  -

تاریخ انتشار 2005