4 papers
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…
Mesh deformation techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency
Alexander Shamanskiy, Bernd Simeon
An important ingredient of any moving-mesh method for fluid-structure interaction (FSI) problems is the mesh deformation technique (MDT) used to adapt the computational mesh in the…
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…
On a saddle point problem arising from magneto-elastic coupling
Mané Harutyunyan, Bernd Simeon
This paper deals with the analysis of a coupled problem arising from linear magneto-elastostaticity. The model, which can be derived by an energy principle, gives valuable insight…