518 citations · 1.2k across the 49 of their papers we have counts for
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Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves
Markus Wess, Bernard Kapidani, Lorenzo Codecasa +1
We present a fundamental improvement of a high polynomial degree time domain cell method recently introduced by the last three authors. The published work introduced a method featu…
High order biorthogonal functions in H(Curl)
Tim Haubold, Sven Beuchler, Joachim Schöberl
From the literature, it is known that the choice of basis functions in hp-FEM heavily influences the computational cost in order to obtain an approximate solution. Depending on the…
Error Analysis of an HDG Method with Impedance Traces for the Helmholtz Equation
Michael Leumüller, Joachim Schöberl
In this work, a novel analysis of a hybrid discontinuous Galerkin method for the Helmholtz equation is presented. It uses wavenumber, mesh size and polynomial degree independent st…
The Hellan-Herrmann-Johnson and TDNNS method for linear and nonlinear shells
Michael Neunteufel, Joachim Schöberl
In this paper we extend the recently introduced mixed Hellan-Herrmann-Johnson (HHJ) method for nonlinear Koiter shells to nonlinear Naghdi shells by means of a hierarchical approac…
High-order projection-based upwind method for implicit large eddy simulation
Philip L. Lederer, Xaver Mooslechner, Joachim Schöberl
We assess the ability of three different approaches based on high-order discontinuous Galerkin methods to simulate under-resolved turbulent flows. The capabilities of the mass cons…