4 papers
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…