4 papers · 1 filter
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…
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…
-conforming variational discretization of the biharmonic wave equation
Markus Bause, Maria Lymbery, Kevin Osthues
Biharmonic wave equations are of importance to various applications including thin plate analyses. In this work, the numerical approximation of their solutions by a -conformin…