3 citations · 3 across the 2 of their papers we have counts for
6 papers
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements
C. Carstensen, S. Sauter
In this paper, we prove that Crouzeix-Raviart finite elements of polynomial order , odd, are inf-sup stable for the Stokes problem on triangulations. For , …
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…
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions
Sarah Eberle, Francesco Florian, Ralf Hiptmair +1
In this paper, we consider an acoustic wave transmission problem with mixed boundary conditions of Dirichlet, Neumann, and impedance type. The transmission interfaces may join the…
Benchmark computation of eigenvalues with large defect for non-selfadjoint elliptic differential operators
Rebekka Gasser, Joscha Gedicke, Stefan Sauter
In this paper we present benchmark problems for non-selfadjoint elliptic eigenvalue problems with large defect and ascent. We describe the derivation of the benchmark problem with…
Numerical approximation of Poisson problems in long domains
Michel Chipot, Wolfgang Hackbusch, Stefan Sauter +1
In this paper, we consider the Poisson equation on a "long" domain which is the Cartesian product of a one-dimensional long interval with a (d-1)-dimensional domain. The right-hand…
Wavenumber-explicit -FEM analysis for Maxwell's equations with transparent boundary conditions
Jens Markus Melenk, Stefan Sauter
The time-harmonic Maxwell equations at high wavenumber are discretized by edge elements of degree on a mesh of width . For the case of a ball and exact, transparent boun…