69 citations · 155 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
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…