518 citations · 1.2k across the 49 of their papers we have counts for
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Divergence-free tangential finite element methods for incompressible flows on surfaces
Philip L. Lederer, Christoph Lehrenfeld, Joachim Schöberl
In this work we consider the numerical solution of incompressible flows on two-dimensional manifolds. Whereas the compatibility demands of the velocity and the pressure spaces are…
Avoiding Membrane Locking with Regge Interpolation
Michael Neunteufel, Joachim Schöberl
In this paper we present a novel method to overcome membrane locking of thin shells. An interpolation operator into the so-called Regge finite element space is inserted in the memb…
Tent pitching and Trefftz-DG method for the acoustic wave equation
Ilaria Perugia, Joachim Schöberl, Paul Stocker +1
We present a space-time Trefftz discontinuous Galerkin method for approximating the acoustic wave equation semi-explicitly on tent pitched meshes. DG Trefftz methods use discontinu…
An Explicit Mapped Tent Pitching Scheme for Maxwell Equations
Jay Gopalakrishnan, Matthias Hochsteger, Joachim Schöberl +1
We present a new numerical method for solving time dependent Maxwell equations, which is also suitable for general linear hyperbolic equations. It is based on an unstructured parti…
The Hellan-Herrmann-Johnson Method for Nonlinear Shells
Michael Neunteufel, Joachim Schöberl
In this paper we derive a new finite element method for nonlinear shells. The Hellan-Herrmann-Johnson (HHJ) method is a mixed finite element method for fourth order Kirchhoff plate…
A Reduced Basis Method For Fractional Diffusion Operators I
Tobias Danczul, Joachim Schöberl
We propose and analyze new numerical methods to evaluate fractional norms and apply fractional powers of elliptic operators. By means of a reduced basis method, we project to a sma…
A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation
Gerhard Kitzler, Joachim Schöberl
In this paper we present a numerical method for the Boltzmann equation. It is a spectral discretization in the velocity and a discontinuous Galerkin discretization in physical spac…
A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry
Jay Gopalakrishnan, Philip L. Lederer, Joachim Schöberl
We introduce a new discretization of a mixed formulation of the incompressible Stokes equations that includes symmetric viscous stresses. The method is built upon a mass conserving…
A polynomial spectral method for the spatially homogeneous Boltzmann equation
Gerhard Kitzler, Joachim Schöberl
We present a spectral Petrov-Galerkin method for the Boltzmann collision operator. We expand the density distribution to high order orthogonal polynomials multiplied by a Maxwe…