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20142019
most citedBoundary and coupled boundary-finite element methods for transient wave-structure interaction

41 citations · 135 across the 8 of their papers we have counts for

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6 papers · 1 filter

math.NA2019★ 10 cited

Time-Domain Boundary Integral Methods in Linear Thermoelasticity

George Hsiao, Tonatiuh Sánchez-Vizuet

This paper is concerned with the application of time domain boundary integral methods(TDBIMs) to a non-stationary boundary value problem for the thermo-elasto-dynamic equations, ba…

math.NA2016★ 15 cited

A Time-Dependent Wave-Thermoelastic Solid Interaction

George Hsiao, Tonatiuh Sanchez-Vizuet, Francisco-Javier Sayas +1

This paper presents a combined field and boundary integral equation method for solving the time-dependent scattering problem of a thermoelastic body immersed in a compressible, inv…

math.NA2016★ 15 cited

Boundary-Finite Element discretization of time dependent acoustic scattering by elastic obstacles with piezoelectric behavior

Tonatiuh Sanchez-Vizuet, Francisco-Javier Sayas

A coupled BEM/FEM formulation for the transient interaction between an acoustic field and a piezoelectric scatterer is proposed. The scattered part of the acoustic wave is represen…

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…

math.NA2014★ 15 cited

A fully discrete Calderon Calculus for the two-dimensional elastic wave equation

Victor Dominguez, Tonatiuh Sanchez-Vizuet, Francisco-Javier Sayas

In this paper we present a full discretization of the layer potentials and boundary integral operators for the elastic wave equation on a parametrizable smooth closed curve in the…