activity
20142024
most citedBoundary and coupled boundary-finite element methods for transient wave-structure interaction

41 citations · 76 across the 11 of their papers we have counts for

collaborators

11 papers

math.AP2024

Boundary-field formulation for transient electromagnetic scattering by dielectric scatterers and coated conductors

George C. Hsiao, Tonatiuh Sánchez-Vizuet, Wolfgang L. Wendland

We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an in…

math.AP2022

A boundary-field formulation for elastodynamic scattering

George C. Hsiao, Tonatiuh Sánchez-Vizuet, Wolfgang L. Wendland

An incoming elastodynamic wave impinges on an elastic obstacle is embedded in an infinite elastic medium. The objective of the paper is to examine the subsequent elastic fields sca…

math.AP2021★ 8 cited

Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers

George C. Hsiao, Tonatiuh Sánchez-Vizuet

In this paper, we are concerned with a time-dependent transmission problem for a thermo-piezoelectric elastic body immersed in a compressible fluid. It is shown that the problem ca…

math.NA2020

Boundary integral formulations for transient linear thermoelasticity with combined-type boundary conditions

George C. Hsiao, Tonatiuh Sánchez-Vizuet

We study boundary integral formulations for an interior/exterior initial boundary value problem arising from the thermo-elasto-dynamic equations in a homogeneous and isotropic doma…

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.NA2015★ 2 cited

Boundary integral equation methods for the two dimensional fluid-solid interaction problem

Tao Yin, George C. Hsiao, Liwei Xu

This paper is concerned with boundary integral equation methods for solving the two-dimensional fluid-solid interaction problem. We reduce the problem to three differential systems…

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

Boundary integral solvers for an evolutionary exterior Stokes problem

Constantin Bacuta, Matthew E. Hassell, George C. Hsiao +1

This paper proposes and analyzes a full discretization of the exterior transient Stokes problem with Dirichlet boundary conditions. The method is based on a single layer boundary i…

math.NA2014

Time-Dependent Fluid-Structure Interaction

George C. Hsiao, Francisco-Javier Sayas, Richard J. Weinacht

The problem of determining the manner in which an incoming acoustic wave is scattered by an elastic body immersed in a fluid is one of central importance in detecting and identifyi…

math.NA2014

New developments on the coupling of mixed-FEM and BEM for the three-dimensional Stokes problem

Gabriel N Gatica, George C. Hsiao, Salim Meddahi +1

In this paper we consider the three dimensional exterior Stokes problem and study the solvability of the corresponding continuous and discrete formulations that arise from the coup…