4 papers
Convergent adaptive iterative schemes for solving multi-physics problems
Jakob S. Stokke, Kundan Kumar, Florin A. Radu
In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, gi…
Convergence of a continuous Galerkin method for the Biot-Allard poroelasticity system
Jakob S. Stokke, Markus Bause, Florin A. Radu
We study a space-time finite element method for a system of poromechanics with memory effects that are modeled by a convolution integral. In the literature, the system is referred…
A History-dependent Dynamic Biot Model
Jakob S. Stokke, Morten Jakobsen, Kundan Kumar +1
In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We p…
The Biot-Allard poro-elasticity system: equivalent forms and well-posedness
Jakob S. Stokke, Markus Bause, Nils Margenberg +1
We consider the fully dynamic Biot-Allard model, which includes memory effects. Convolution integrals in time model the history of the porous medium. We use a series representation…