5 papers · 1 filter
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…
An Efficient Model Order Reduction Scheme for Dynamic Contact in Linear Elasticity
Diana Manvelyan, Bernd Simeon, Utz Wever
The paper proposes an approach for the efficient model order reduction of dynamic contact problems in linear elasticity. Instead of the augmented Lagrangian method that is widely u…
Coupled Systems of Differential-Algebraic and Kinetic Equations with Application to the Mathematical Modelling of Muscle Tissue
Steffen Plunder, Bernd Simeon
We consider a coupled system composed of a linear differential-algebraic equation (DAE) and a linear large-scale system of ordinary differential equations where the latter stands f…