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arXiv · 1504.01037

Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations

Dean Baskin·Euan Spence·Jared Wunsch
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Abstract

We consider three problems for the Helmholtz equation in interior and exterior domains in R^d (d=2,3): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for outgoing solutions, and the interior impedance problem. We derive sharp estimates for solutions to these problems that, in combination, give bounds on the inverses of the combined-field boundary integral operators for exterior Helmholtz problems.

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Dean Baskin, Euan Spence, Jared Wunsch. 2015-04-04. Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. https://arxiv.org/abs/1504.01037

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