Non-reflecting boundary conditions for waveguides

  title={Non-reflecting boundary conditions for waveguides},
  author={A. Bendali and Ph. Guillaume},
  journal={Math. Comput.},
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… CONTINUE READING
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