16 citations · 24 across the 5 of their papers we have counts for
5 papers
Analysis of a family of time-continuous strongly conservative space-time finite element methods for the dynamic Biot model
Johannes Kraus, Maria Lymbery, Kevin Osthues +1
We consider the dynamic Biot model describing the interaction between fluid flow and solid deformation including wave propagation phenomena in both the liquid and solid phases of a…
A new practical framework for the stability analysis of perturbed saddle-point problems and applications
Qingguo Hong, Johannes Kraus, Maria Lymbery +1
In this paper we prove a new abstract stability result for perturbed saddle-point problems based on a norm fitting technique. We derive the stability condition according to Babuska…
On the stability of time-discrete dynamic multiple network poroelasticity systems arising from second-order implicit time-stepping schemes
Fadi Philo
The classical Biot's theory provides the foundation of a fully dynamic poroelasticity model describing the propagation of elastic waves in fluid-saturated media. Multiple network p…
Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot's consolidation and multiple-network poroelasticity models
Qingguo Hong, Johannes Kraus, Maria Lymbery +1
This work is concerned with the iterative solution of systems of quasi-static multiple-network poroelasticity (MPET) equations describing flow in elastic porous media that is perme…
Conservative discretizations and parameter-robust preconditioners for Biot and multiple-network flux-based poroelastic models
Qinggou Hong, Johannes Kraus, Maria Lymbery +1
The parameters in the governing system of partial differential equations of multicompartmental poroelastic models typically vary over several orders of magnitude making its stable…