High Order Absorbing Boundary Conditions for the 2D Helmholtz Equation
Résumé
We present high order absorbing boundary conditions (ABC) for the 2D Helmholtz equation that can adapt to any regular shaped surface. The new ABCs are derived by using the technique of micro-diagonalisation to approximate the Dirichlet-to-Neumann map. Numerical results on different shapes illustrate the behavior of the new ABCs along with high-order finite elements.
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