37 citations · 56 across the 5 of their papers we have counts for
5 papers
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…
An efficient mass lumping scheme for isogeometric analysis based on approximate dual basis functions
Susanne Held, Sascha Eisenträger, Wolfgang Dornisch
In this contribution, we provide a new mass lumping scheme for explicit dynamics in isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual funct…
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…