A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
Journal of Computational Physics
Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method
Journal of Computational Physics
Journal of Computational Physics
A Spectral-Element Method for Transmission Eigenvalue Problems
Journal of Scientific Computing
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A stable and high-order method for solving the Helmholtz equation on a two-dimensional domain exterior to a bounded obstacle is developed in this paper. The method is based on a boundary perturbation technique (“transformed field expansions”) coupled with a well-conditioned high-order spectral-Galerkin solver. The method is further enhanced with numerical analytic continuation, implemented via Pade´ approximation. Ample numerical results are presented to show the accuracy, stability, and versatility of the proposed method.