Non-reflecting boundary conditions for waveguides

نویسندگان

  • A. Bendali
  • Ph. Guillaume
چکیده

New non-reflecting boundary conditions are introduced for the solution of the Helmholtz equation in a waveguide. These boundary conditions are perfectly transparent for all propagating modes. They do not require the determination of these propagating modes but only their propagation constants. A quasi-local form of these boundary conditions is well suited as terminating boundary condition beyond finite element meshes. Related convergence properties to the exact solution and optimal error estimates are established.

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عنوان ژورنال:
  • Math. Comput.

دوره 68  شماره 

صفحات  -

تاریخ انتشار 1999