Pré-Publication, Document De Travail Année : 2025

L ∞ -error estimates for solutions of the Helmholtz equation with truncated index in a fold caustic model

Résumé

This note considers the error estimates for the solutions of high-frequency Helmholtz equations, that is, waves refracted by a surface, in the domain when the indices of refraction coincide. We derive error estimates in terms of the wave number k > 0 for truncated indexes of refraction, thereby adapting the physical meaning of the wave equations through the use of Airy functions and their derivatives.

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Dates et versions

hal-05316611 , version 1 (15-10-2025)

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  • HAL Id : hal-05316611 , version 1

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Hoang Long Le. L ∞ -error estimates for solutions of the Helmholtz equation with truncated index in a fold caustic model. 2025. ⟨hal-05316611⟩
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