7 papers
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…
A Hybridizable Discontinuous Galerkin solver for the Grad-Shafranov equation
Tonatiuh Sánchez-Vizuet, Manuel Solano
In axisymmetric fusion reactors, the equilibrium magnetic configuration can be expressed in terms of the solution to a semi-linear elliptic equation known as the Grad-Shafranov equ…
Pseudo spectral collocation with Maxwell polynomials for kinetic equations with energy diffusion
Tonatiuh Sanchez-Vizuet, Antoine J. Cerfon
We study the approximation and stability properties of a recently popularized discretization strategy for the speed variable in kinetic equations, based on pseudo spectral collocat…
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…
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…
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…