41 citations · 213 across the 42 of their papers we have counts for
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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…
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…
New mapping properties of the Time Domain Electric Field Integral Equation
Tianyu Qiu, Francisco-Javier Sayas
We show some improved mapping properties of the Time Domain Electric Field Integral Equation and of its Galerkin semidiscretization in space. We relate the weak distributional fram…
A non-symmetric coupling of the finite volume method and the boundary element method
Christoph Erath, Günther Of, Francisco-Javier Sayas
As model problem we consider the prototype for flow and transport of a concentration in porous media in an interior domain and couple it with a diffusion process in the correspondi…