37 citations · 56 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Isogeometric Bézier dual mortaring: Refineable higher-order spline dual bases and weakly continuous geometry
Z. Zou, M. A. Scott, M. J. Borden +3
In this paper we develop the isogeometric Bézier dual mortar method. It is based on Bézier extraction and projection and is applicable to any spline space which can be represented…