41 citations · 213 across the 42 of their papers we have counts for
6 papers · 1 filter
Coupling of HDG with a double-layer potential BEM
Zhixing Fu, Norbert Heuer, Francisco-Javier Sayas
In this paper we propose and analyze a new coupling procedure for the Hybridizable Discontinuous Galerkin Method with Galerkin Boundary Element Methods based on a double layer pote…
A fully discrete Calderon Calculus for two dimensional time harmonic waves
Victor Dominguez, Sijiang L. Lu, Francisco-Javier Sayas
In this paper, we present a fully discretized Calderón Calculus for the two dimensional Helmholtz equation. This full discretization can be understood as highly non-conforming Petr…
A Nystrom method for the two dimensional Helmholtz hypersingular equation
Victor Dominguez, Sijiang L. Lu, Francisco-Javier Sayas
In this paper we propose and analyze a class of simple Nyström discretizations of the hypersingular integral equation for the Helmholtz problem on domains of the plane with smooth…
A decoupled preconditioning technique for a mixed Stokes-Darcy model
Antonio Márquez, Salim Meddahi, Francisco-Javier Sayas
We propose an efficient iterative method to solve the mixed Stokes-Dracy model for coupling fluid and porous media flow. The weak formulation of this problem leads to a coupled, in…
Strong coupling of finite element methods for the Stokes-Darcy problem
Antonio Márquez, Salim Meddahi, Francisco-Javier Sayas
The aim of this paper is to propose a systematic way to obtain convergent finite element schemes for the Darcy-Stokes flow problem by combining well-known mixed finite elements tha…
A Note on the Ladyzenskaja-Babuska-Brezzi Condition
Abner J. Salgado, Johnny Guzman, Francisco-Javier Sayas
The analysis of finite-element-like Galerkin discretization techniques for the stationary Stokes problem relies on the so-called LBB condition. In this work we discuss equivalent f…