activity
20232026
most citedAn EigenValue Stabilization Technique for Immersed Boundary Finite Element Methods in Explicit Dynamics

15 citations · 29 across the 7 of their papers we have counts for

collaborators

7 papers

cs.CE2026

Machine-learning-assisted multiscale topology optimization of functionally graded superimposed lattice structures

Prashant Kumar Gupta, Jonathan Stollberg, Dominik Schillinger +1

Functionally graded lattice structures enable lightweight designs with spatially tunable stiffness and density, but their use in multiscale topology optimization is limited by the…

cs.CE2026

On the Localization of Checkerboarding in Multiaxial Stress Regions under SIMP Penalization

Iulian Paunel, Jonathan Stollberg, Dominik Schillinger

Checkerboard patterns are a well-known numerical artifact in density-based topology optimization using the Solid Isotropic Material with Penalization (SIMP) method and linear finit…

math.NA2024

A study on nodal and isogeometric formulations for nonlinear dynamics of shear- and torsion-free rods

Thi-Hoa Nguyen, Bruno A. Roccia, Dominik Schillinger +1

In this work, we compare the nodal and isogeometric spatial discretization schemes for the nonlinear formulation of shear- and torsion-free rods introduced in [1]. We investigate t…

cs.CE2024

A locking-free isogeometric thin shell formulation based on higher order accurate diagonalized strain projection via approximate dual splines

Thi-Hoa Nguyen, René R. Hiemstra, Dominik Schillinger

We present a novel isogeometric discretization approach for the Kirchhoff-Love shell formulation based on the Hellinger-Reissner variational principle. For mitigating membrane lock…

math.NA2023★ 12 cited

Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions

Rene Hiemstra, Thi-Hoa Nguyen, Sascha Eisentrager +2

This paper introduces a mathematical framework for explicit structural dynamics, employing approximate dual functionals and rowsum mass lumping. We demonstrate that the approach ma…

math.NA2023★ 15 cited

An EigenValue Stabilization Technique for Immersed Boundary Finite Element Methods in Explicit Dynamics

Sascha Eisenträger, Lars Radtke, Wadhah Garhuom +4

The application of immersed boundary methods in static analyses is often impeded by poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of e…

cs.CE2023★ 2 cited

Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization and outlier removal

Thi-Hoa Nguyen, Bruno A. Roccia, René R. Hiemstra +2

In this paper, we present a discrete formulation of nonlinear shear- and torsion-free rods introduced by Gebhardt and Romero in [20] that uses isogeometric discretization and robus…