Tonatiuh Sánchez-Vizuet

TL;DR: In this paper, the authors proposed time-domain boundary integral and coupled boundary integral, and variational formulations for acoustic scattering by linearly elastic obstacles, with well posedness along with stability and error bounds with explicit time dependence.

TL;DR: In this article, the authors present an analysis of boundary integral operators associated with the wave equation in the time domain by employing tools from abstract evolution equations in Hilbert spaces and semi-group theory, and prove a general theorem from which well-posedness and regularity of the solutions for several boundary integral formulations can be deduced as particular cases.

TL;DR: In this paper, an analysis of the boundary integral operators associated with the wave equation is presented in the time-domain by employing tools from abstract evolution equations in Hilbert spaces and semi-group theory.

TL;DR: A high order solver based on the Hybridizable Discontinuous Galerkin method is proposed that provides high order of convergence for the flux function and its gradient and incorporates a novel method for handling piecewise smooth geometries by extension from polygonal meshes.

TL;DR: A coupled BEM/FEM formulation for the transient interaction between an acoustic field and a piezoelectric scatterer and well posedness of a general Galerkin semi-discretization in space of the problem is shown and translated into explicit stability bounds in the time domain.