12 citations · 14 across the 6 of their papers we have counts for
6 papers
Scaled boundary isogeometric analysis with C1 coupling for Kirchhoff plate theory
Jeremias Arf, Mathias Reichle, Sven Klinkel +1
Although isogeometric analysis exploits smooth B-spline and NURBS basis functions for the definition of discrete function spaces as well as for the geometry representation, the glo…
Smooth multi-patch scaled boundary isogeometric analysis for Kirchhoff-Love shells
Mathias Reichle, Jeremias Arf, Bernd Simeon +1
In this work, a linear Kirchhoff-Love shell formulation in the framework of scaled boundary isogeometric analysis is presented that aims to provide a simple approach to trimming fo…
Mixed Isogeometric Methods for Linear Elasticity with Weakly Imposed Symmetry
Jeremias Arf
We consider and discretize a mixed formulation for linear elasticity with weakly imposed symmetry in two and three dimensions. Whereas existing methods mainly deal with simplicial…
Mixed Isogeometric Discretizations for Planar Linear Elasticity
Jeremias Arf, Bernd Simeon
In this article we suggest two discretization methods based on isogeometric analysis (IGA) for planar linear elasticity. On the one hand, we apply the well-known ansatz of weakly i…
Structure-preserving Discretization of the Hessian Complex based on Spline Spaces
Jeremias Arf, Bernd Simeon
We want to propose a new discretization ansatz for the second order Hessian complex exploiting benefits of isogeometric analysis, namely the possibility of high-order convergence a…
A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model
Jeremias Arf, Bernd Simeon
Biot's equations of poroelasticity contain a parabolic system for the evolution of the pressure, which is coupled with a quasi-stationary equation for the stress tensor. Thus, it i…