Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations

We consider three problems for the Helmholtz equation in interior and exterior domains in Rd , (d = 2, 3): the exterior Dirichlet-to-Neumann and Neumannto-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.

• Type: Journal
• Year: 2016
• Where: SIAMMA
• Authors: Dean Baskin, Euan A. Spence, Jared Wunsch
• Keywords: Computer Graphics, SIAMMA 2016