518 citations · 1.2k across the 49 of their papers we have counts for
53 papers
High order biorthogonal functions for the discrete de Rham complex on simplices*
Tim Haubold, Sven Beuchler, Joachim Schöberl
It is well known that the choice of basis functions in hp-FEM heavily influences the stability and the computational cost in order to obtain an approximate solution. For simplicial…
High-order projection-based upwind method for simulation of transitional turbulent flows
Philip L. Lederer, Xaver Mooslechner, Joachim Schöberl
We present a scalable, high-order implicit large-eddy simulation (ILES) approach for incompressible transitional flows. This method employs the mass-conserving mixed stress (MCS) m…
On the improved convergence of lifted distributional Gauss curvature from Regge elements
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl +1
Although Regge finite element functions are not continuous, useful generalizations of nonlinear derivatives like the curvature, can be defined using them. This paper is devoted to…
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…
Curing spurious magneto-mechanical coupling in soft non-magnetic materials
Matthias Rambausek, Joachim Schöberl
The present work is concerned with the issue of spurious coupling effects that are pervasive in fully coupled magneto-mechanical finite element simulations involving very soft non-…
A conforming auxiliary space preconditioner for the mass conserving mixed stress method
Lukas Kogler, Philip L. Lederer, Joachim Schöberl
We are studying the efficient solution of the system of linear equation stemming from the mass conserving mixed stress (MCS) method discretization of the Stokes equations. To that…
Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl +1
The metric tensor of a Riemannian manifold can be approximated using Regge finite elements and such approximations can be used to compute approximations to the Gauss curvature and…
Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications
Johannes Kraus, Philip L. Lederer, Maria Lymbery +2
The quasi-static multiple network poroelastic theory (MPET) model, first introduced in the context of geomechanics, has recently found new applications in medicine. In practice, th…
Primal and mixed finite element formulations for the relaxed micromorphic model
Adam Sky, Michael Neunteufel, Ingo Muench +2
The classical Cauchy continuum theory is suitable to model highly homogeneous materials. However, many materials, such as porous media or metamaterials, exhibit a pronounced micros…
Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling
Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer +1
We introduce two new lowest order methods, a mixed method, and a hybrid Discontinuous Galerkin (HDG) method, for the approximation of incompressible flows. Both methods use diverge…
Numerical shape optimization of the Canham-Helfrich-Evans bending energy
Michael Neunteufel, Joachim Schöberl, Kevin Sturm
In this paper we propose a novel numerical scheme for the Canham-Helfrich-Evans bending energy based on a three-field lifting procedure of the distributional shape operator to an a…
A Unified Rational Krylov Method for Elliptic and Parabolic Fractional Diffusion Problems
Tobias Danczul, Clemens Hofreither, Joachim Schöberl
We present a unified framework to efficiently approximate solutions to fractional diffusion problems of stationary and parabolic type. After discretization, we can take the point o…
Convergence analysis of some tent-based schemes for linear hyperbolic systems
Dow Drake, Jay Gopalakrishnan, Joachim Schöberl +1
Finite element methods for symmetric linear hyperbolic systems using unstructured advancing fronts (satisfying a causality condition) are considered in this work. Convergence resul…
An algebraic multigrid method based on an auxiliary topology with edge matrices
Lukas Kogler, Joachim Schöberl
This paper introduces a novel approach to algebraic multigrid methods for large systems of linear equations coming from finite element discretizations of certain elliptic second or…
A hybrid H1xH(curl) finite element formulation for a relaxed micromorphic continuum model of antiplane shear
Adam Sky, Michael Neunteufel, Ingo Münch +2
One approach for the simulation of metamaterials is to extend an associated continuum theory concerning its kinematic equations, and the relaxed micromorphic continuum represents s…
Three-field mixed finite element methods for nonlinear elasticity
Michael Neunteufel, Astrid Pechstein, Joachim Schöberl
In this paper, we extend the tangential-displacement normal-normal-stress continuous (TDNNS) method from [26] to nonlinear elasticity. By means of the Hu-Washizu principle, the dis…
Fluid-structure interaction with -conforming finite elements
Michael Neunteufel, Joachim Schöberl
In this paper a novel application of the (high-order) -conforming Hybrid Discontinuous Galerkin finite element method for monolithic fluid-structure interaction (FSI…
A Reduced Basis Method For Fractional Diffusion Operators II
Tobias Danczul, Joachim Schöberl
We present a novel numerical scheme to approximate the solution map to partial differential equations involving fractional elliptic operators.…
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia +1
We present an equilibration-based a posteriori error estimator for Nédélec element discretizations of the magnetostatic problem. The estimator is obtained by adding a gradient corr…
Fully and Semi-Automated Shape Differentiation in NGSolve
Peter Gangl, Kevin Sturm, Michael Neunteufel +1
In this paper we present a framework for automated shape differentiation in the finite element software NGSolve. Our approach combines the mathematical Lagrangian approach for diff…