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math.AP2023★ 4 cited
Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media
Théophile Chaumont-Frelet, Andrea Moiola, Euan A. Spence
We consider the time-harmonic Maxwell equations posed in . We prove a priori bounds on the solution for coefficients and satisfying certain monoton…
math.AP2021★ 5 cited
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem
Ralf Hiptmair, Andrea Moiola, Euan A. Spence
We consider the Helmholtz transmission problem with piecewise-constant material coefficients, and the standard associated direct boundary integral equations. For certain coefficien…
math.AP2017★ 7 cited
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions
Andrea Moiola, Euan A. Spence
We consider the Helmholtz transmission problem with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds on…