41 citations · 135 across the 8 of their papers we have counts for
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math.NA2015★ 22 cited
A new and improved analysis of the time domain boundary integral operators for acoustics
Matthew Hassell, Tianyu Qiu, Tonatiuh Sanchez-Vizuet +1
We present a novel analysis of the boundary integral operators associated to the wave equation. The analysis is done entirely in the time-domain by employing tools from abstract ev…
math.NA2015★ 41 cited
Boundary and coupled boundary-finite element methods for transient wave-structure interaction
George C. Hsiao, Tonatiuh Sanchez-Vizuet, Francisco--Javier Sayas
We propose time-domain boundary integral and coupled boundary integral and variational formulations for acoustic scattering by linearly elastic obstacles. Well posedness along with…