41 citations · 213 across the 42 of their papers we have counts for
7 papers · 1 filter
Symmetric coupling of LDG-FEM and DG-BEM
Norbert Heuer, Salim Meddahi, Francisco-Javier Sayas
We analyze a discontinuous Galerkin FEM-BEM scheme for a second order elliptic transmission problem posed in the three-dimensional space. The symmetric variational formulation is d…
Stable numerical coupling of exterior and interior problems for the wave equation
Lehel Banjai, Christian Lubich, Francisco-Javier Sayas
Stable numerical coupling of exterior and interior problems for the wave equation
From Raviart-Thomas to HDG
Francisco-Javier Sayas
This document has been motivated by a course entitled {\em From Raviart-Thomas to HDG}, prepared for {\em Cádiz Numérica 2013 -- Course and Encounter on Numerical Analysis} (Cádiz,…
Matlab tools for HDG in three dimensions
Zhixing Fu, Luis F. Gatica, Francisco-Javier Sayas
In this paper we provide some Matlab tools for efficient vectorized coding of the Hybridizable Discontinuous Galerkin for linear variable coefficient reaction-diffusion problems in…
A Nystrom flavored Calderón Calculus of order three for two dimensional waves
V. Dominguez, S. L. Lu, F. -J. Sayas
In this paper we present and test a full discretization of all elements of the Calderón Calculus (layer potentials and integral operators) for the Helmholtz equation in smooth clos…
Variational views of stokeslets and stresslets
Francisco-Javier Sayas, Virginia Selgas
In this paper we present a self-contained variational theory of the layer potentials for the Stokes problem on Lipschitz boundaries. We use these weak definitions to show how to pr…
Fully discrete Kirchhoff formulas with CQ-BEM
Lehel Banjai, Antonio Laliena, Francisco-Javier Sayas
In this paper we propose and analyze a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The…