3 papers
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.NA2025
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.CE2025
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…