41 citations · 213 across the 42 of their papers we have counts for
6 papers · 1 filter
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…