3 papers
math.NA2026
A dual lumping procedure for static condensation in mixed NURBS-based isogeometric elements with optimal convergence rates for arbitrary open knot vectors
Lisa Stammen, Wolfgang Dornisch
Locking is a common effect in finite element and isogeometric analysis. In the case of plates, transverse shear locking is most prominent, for shells several other types of locking…
math.NA2025
A rotation-based geometrically nonlinear spectral Reissner--Mindlin shell element
Nima Azizi, Wolfgang Dornisch
In this paper, we propose a geometrically nonlinear spectral shell element based on Reissner--Mindlin kinematics using a rotation-based formulation with additive update of the disc…
math.NA2023
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…