18 citations · 52 across the 15 of their papers we have counts for
15 papers
A family of mixed-mixed strongly conservative finite element methods for Biot's model of consolidation
Qingguo Hong, Johannes Kraus, Maria Lymbery
We consider a four-field formulation of Biot's quasi-static model of consolidation with the (effective) elastic stress, the solid displacement, the fluid flux and the fluid pressur…
Fitted norm preconditioners for the Hodge Laplacian in mixed form
Wietse M. Boon, Johannes Kraus, Tomáš Luber +1
We use the practical framework for abstract perturbed saddle point problems recently introduced by Hong et al. to analyze the mixed formulation of the Hodge Laplace problem. We com…
Time-continuous strongly conservative space-time finite element methods for the dynamic Biot model
Johannes Kraus, Maria Lymbery, Kevin Osthues
We consider the dynamic Biot model (see [Biot, M. A. J. Appl. Phys. 33, 1482--1498 (1962)]) describing the interaction between fluid flow and solid deformation including wave propa…
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 fixed-stress type splitting method for nonlinear poroelasticity
Johannes Kraus, Kundan Kumar, Maria Lymbery +1
In this paper we consider a nonlinear poroelasticity model that describes the quasi-static mechanical behaviour of a fluid-saturated porous medium whose permeability depends on the…
Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications
Johannes Kraus, Philip L. Lederer, Maria Lymbery +2
The quasi-static multiple network poroelastic theory (MPET) model, first introduced in the context of geomechanics, has recently found new applications in medicine. In practice, th…