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math.NA2019
A sharp relative-error bound for the Helmholtz -FEM at high frequency
David Lafontaine, Euan A. Spence, Jared Wunsch
For the -finite-element method (-FEM) applied to the Helmholtz equation, the question of how quickly the meshwidth must decrease with the frequency to maintain accura…
math.AP2019
For most frequencies, strong trapping has a weak effect in frequency-domain scattering
David Lafontaine, Euan A. Spence, Jared Wunsch
It is well known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation (a.k.a. the resolvent of the Laplaci…