518 citations · 1.2k across the 49 of their papers we have counts for
10 papers · 1 filter
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…
Structure aware Runge-Kutta time stepping for spacetime tents
Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger
We introduce a new class of Runge-Kutta type methods suitable for time stepping to propagate hyperbolic solutions within tent-shaped spacetime regions. Unlike standard Runge-Kutta…
A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains
Bernard Kapidani, Joachim Schöberl
A Discontinuous Galerkin (DG) Finite Element Method (FEM) approach for the 3D time dependent Maxwell equations in unbounded domains is presented. The method (implemented in the FEM…
An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations
Bernard Kapidani, Lorenzo Codecasa, Joachim Schöberl
We introduce a new numerical method for the time-dependent Maxwell equations on unstructured meshes in two space dimensions. This relies on the introduction of a new mesh, which is…