Abstract
The paper introduces a new adaptive method for solving the one-dimensional Helmholtz equation. It is implemented in algebraic multigrid framework and combines techniques from the wave-ray geometric solver and from the adaptive Bootstrap algebraic approach. The solver exhibits optimal efficiency for different, including discontinuous, wave numbers, as confirmed by numerical experiments. The approach is extendable, though not straightforwardly, to higher dimensions as briefly discussed in the concluding section.
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