20 citations · 47 across the 20 of their papers we have counts for
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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…
A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L ^\infty -Coefficients
M. Weymuth, S. Sauter, S. Repin
We consider elliptic problems with complicated, discontinuous diffusion tensor . One of the standard approaches to numerically treat such problems is to…
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation
Marcus J. Grote, Michaela Mehlin, Stefan Sauter
Local adaptivity and mesh refinement are key to the efficient simulation of wave phenomena in heterogeneous media or complex geometry. Locally refined meshes, however, dictate a sm…
A Family of Crouzeix-Raviart Finite Elements in 3D
Patrick Ciarlet, Charles F. Dunkl, Stefan A. Sauter
In this paper we will develop a family of non-conforming "Crouzeix-Raviart" type finite elements in three dimensions. They consist of local polynomials of maximal degree $p\in\math…