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Non-reflecting boundary conditions for waveguides |
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| Authors: | A Bendali Ph Guillaume |
| Institution: | Département de Génie Mathématique, INSA Toulouse & CNRS-UMR 5640 MIP, Avenue de Rangueil, 31077 Toulouse Cedex, France ; Département de Génie Mathématique, INSA Toulouse & CNRS-UMR 5640 MIP, Avenue de Rangueil, 31077 Toulouse Cedex, France |
| Abstract: | 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. |
| Keywords: | Guided propagation absorbing boundary conditions waveguides Helmholtz equation acoustics electromagnetics finite element |
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