41 citations · 213 across the 42 of their papers we have counts for
8 papers · 1 filter
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…
Convolution Quadrature for Wave Simulations
Matthew Hassell, Francisco-Javier Sayas
These notes build an introduction to Convolution Quadrature techniques applied to linear convolutions and convolution equations with a bias to problems related to wave propagation.…
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…
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…
Discrete Extension Operators for Mixed finite element spaces on locally refined meshes
Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas
The existence of uniformly bounded discrete extension operators is established for conforming Raviart-Thomas and Nédélec discretisations of and on locally refine…
Note on discontinuous trace approximation in the practical DPG method
Norbert Heuer, Michael Karkulik, Francisco-Javier Sayas
We analyze a non-conforming DPG method with discontinuous trace approximation for the Poisson problem in two and three space dimensions. We show its well-posedness and quasi-optima…