activity
20092020
most citedBoundary and coupled boundary-finite element methods for transient wave-structure interaction

41 citations · 213 across the 42 of their papers we have counts for

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Showing 2016Show all

5 papers · 1 filter

math.NA2016★ 13 cited

Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid

Thomas S. Brown, Tonatiuh Sánchez-Vizuet, Francisco-Javier Sayas

We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear…

math.NA2016★ 1 cited

HDG methods for elastodynamics

Allan Hungria, Daniele Prada, Francisco-Javier Sayas

We derive and analyze a hybridizable discontinuous Galerkin (HDG) method for approximating weak solutions to the equations of time-harmonic linear elasticity on a bounded Lipschitz…

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.NA2016★ 22 cited

A fully discrete BEM-FEM scheme for transient acoustic waves

Matthew E. Hassell, Francisco-Javier Sayas

We study a symmetric BEM-FEM coupling scheme for the scattering of transient acoustic waves by bounded inhomogeneous anisotropic obstacles in a homogeneous field. An incident wave…