41 citations · 213 across the 42 of their papers we have counts for
47 papers
Time domain boundary integral equations and convolution quadrature for scattering by composite media (extended preprint)
Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk
We consider acoustic scattering in heterogeneous media with piecewise constant wave number. The discretization is carried out using a Galerkin boundary element method in space and…
Runge-Kutta approximation for -semigroups in the graph norm with applications to time domain boundary integral equations
Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk
We consider the approximation to an abstract evolution problem with inhomogeneous side constraint using -stable Runge-Kutta methods. We derive a priori estimates in norms other…
A note on devising HDG+ projections on polyhedral elements
Shukai Du, Francisco-Javier Sayas
In this note, we propose a simple way of constructing HDG+ projections on polyhedral elements. The projections enable us to analyze the Lehrenfeld-Schöberl HDG (HDG+) methods in a…
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 unified error analysis of HDG methods for the static Maxwell equations
Shukai Du, Francisco-Javier Sayas
We propose a framework that allows us to analyze different variants of HDG methods for the static Maxwell equations using one simple analysis. It reduces all the work to the constr…
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation
Thomas Führer, Norbert Heuer, Francisco-Javier Sayas
We develop and analyze an ultraweak variational formulation of the Reissner-Mindlin plate bending model both for the clamped and the soft simply supported cases. We prove well-pose…
Brushing up a theorem by Lehel Banjai on the convergence of Trapezoidal Rule Convolution Quadrature
Hasan Eruslu, Francisco-Javier Sayas
This document is made up of two different units. One of them is a regular terse research article, whereas the other one is the detailed and independently written explanations for t…
New analytical tools for HDG in elasticity, with applications to elastodynamics
Shukai Du, Francisco-Javier Sayas
We present some new analytical tools for the error analysis of hybridizable discontinuous Galerkin (HDG) method for linear elasticity. These tools allow us to analyze more variants…
An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: Formulation, analysis, algorithm, and simulation
Victor Dominguez, Mahadevan Ganesh, Francisco-Javier Sayas
A natural medium for wave propagation comprises a coupled bounded heterogeneous region and an unbounded homogeneous free-space. Frequency-domain wave propagation models in the medi…
Analysis of models for viscoelastic wave propagation
Thomas Brown, Shukai Du, Hasan Eruslu +1
We consider the problem of waves propagating in a viscoelastic solid. For the material properties of the solid we consider both classical and fractional differentiation in time ver…
A problem in control of elastodynamics with piezoelectric effects
Harbir Antil, Thomas S. Brown, Francisco-Javier Sayas
We consider an optimal control problem where the state equations are a coupled hyperbolic-elliptic system. This system arises in elastodynamics with piezoelectric effects -- the el…
Time-domain boundary integral equation modeling of heat transmission problems
Tianyu Qiu, Alexander Rieder, Francisco-Javier Sayas +1
This paper investigates the numerical modeling of a time-dependent heat transmission problem by the convolution quadrature boundary element method. It introduces the latest theoret…
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…
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…
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 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…
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…
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…
New mapping properties of the Time Domain Electric Field Integral Equation
Tianyu Qiu, Francisco-Javier Sayas
We show some improved mapping properties of the Time Domain Electric Field Integral Equation and of its Galerkin semidiscretization in space. We relate the weak distributional fram…
A non-symmetric coupling of the finite volume method and the boundary element method
Christoph Erath, Günther Of, Francisco-Javier Sayas
As model problem we consider the prototype for flow and transport of a concentration in porous media in an interior domain and couple it with a diffusion process in the correspondi…
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…
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…
The Costabel-Stephan system of Boundary Integral Equations in the Time Domain
Tianyu Qiu, Francisco-Javier Sayas
In this paper we formulate a transmission problem for the transient acoustic wave equation as a system of retarded boundary integral equations. We then analyse a fully discrete met…