27 citations · 137 across the 23 of their papers we have counts for
23 papers
Guided modes of helical waveguides
Jay Gopalakrishnan, Michael Neunteufel
This paper studies guided transverse scalar modes propagating through helically coiled waveguides. Modeling the modes as solutions of the Helmholtz equation within the three-dimens…
A four-field mixed formulation for incompressible finite elasticity
Guosheng Fu, Michael Neunteufel, Joachim Schöberl +1
In this work, we generalize the mass-conserving mixed stress (MCS) finite element method for Stokes equations [Gopalakrishnan J., Lederer P., and Schöberl J., A mass conserving mix…
Direct coupling of continuum and shell elements in large deformation problems
Astrid Pechstein, Michael Neunteufel
In many applications, thin shell-like structures are integrated within or attached to volumetric bodies. This includes reinforcements placed in soft matrix material in lightweight…
Novel -conforming elements on regular triangulations and Clough--Tocher splits for the planar relaxed micromorphic model
Adam Sky, Michael Neunteufel, Peter Lewintan +3
In this work we present a consistent reduction of the relaxed micromorphic model to its corresponding two-dimensional planar model, such that its capacity to capture discontinuous…
Formulae and transformations for simplicial tensorial finite elements via polytopal templates
Adam Sky, Michael Neunteufel, Jack S. Hale +1
We introduce a unified method for constructing the basis functions of a wide variety of partially continuous tensor-valued finite elements on simplices using polytopal templates. T…
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…
Finite element approximation of the Einstein tensor
Evan S. Gawlik, Michael Neunteufel
We construct and analyze finite element approximations of the Einstein tensor in dimension . We focus on the setting where a smooth Riemannian metric tensor on a polyh…
Generalizing Riemann curvature to Regge metrics
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl +1
In this paper, we propose a generalization of the Riemann curvature tensor on manifolds (of dimension two or higher) endowed with a Regge metric. Specifically, while all components…
Novel -conforming finite elements for the relaxed micromorphic sequence
Adam Sky, Michael Neunteufel, Peter Lewintan +2
In this work we construct novel -conforming finite elements for the recently introduced relaxed micromorphic sequence, which can be considered as the…
A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
Adam Sky, Michael Neunteufel, Jack S. Hale +1
In this work we develop new finite element discretisations of the shear-deformable Reissner--Mindlin plate problem based on the Hellinger-Reissner principle of symmetric stresses.…
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…
Finite element approximation of scalar curvature in arbitrary dimension
Evan S. Gawlik, Michael Neunteufel
We analyze finite element discretizations of scalar curvature in dimension . Our analysis focuses on piecewise polynomial interpolants of a smooth Riemannian metric on…
On pressure robustness and independent determination of displacement and pressure in incompressible linear elasticity
Adam Zdunek, Michael Neunteufel, Waldemar Rachowicz
We investigate the possibility to determine the divergence-free displacement \emph{independently} from the pressure reaction for a class of boundary value problems…
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…
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…
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 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 finite-strain model for incomplete damage in elastoplastic materials
David Melching, Michael Neunteufel, Joachim Schöberl +1
We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it general…
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…
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…
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…