20 citations · 21 across the 6 of their papers we have counts for
6 papers
Monotone two-scale methods for a class of integrodifferential operators and applications
Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado +1
We develop a monotone, two-scale discretization for a class of integrodifferential operators of order , . We apply it to develop numerical schemes, and derive poin…
On the Inf-Sup Stability of Crouzeix-Raviart Stokes Elements in 3D
Stefan Sauter, Céline Torres
We consider non-conforming discretizations of the stationary Stokes equation in three spatial dimensions by Crouzeix-Raviart type elements. The original definition in the seminal p…
Solvability of Discrete Helmholtz Equations
Maximilian Bernkopf, Stefan Sauter, Céline Torres +1
We study the unique solvability of the discretized Helmholtz problem with Robin boundary conditions using a conforming Galerkin -finite element method. Well-posedness of the di…
The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates
Stefan Sauter, Céline Torres
We study wave propagation phenomena modelled in the frequency domain by the Helmholtz equation in heterogeneous media with focus on media with discontinuous, highly oscillating wav…
Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems
Jens M. Melenk, Stefan A. Sauter, Céline Torres
We present a stability and convergence theory for the lossy Helmholtz equation and its Galerkin discretization. The boundary conditions are of Robin type. All estimates are explici…
Stability estimate for the Helmholtz equation with rapidly jumping coefficients
Stefan Sauter, Celine Torres
The goal of this paper is to investigate the stability of the Helmholtz equation in the high- frequency regime with non-smooth and rapidly oscillating coefficients on bounded domai…