88 citations · 181 across the 17 of their papers we have counts for
5 papers · 1 filter
Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems
Qingguo Hong, Johannes Kraus, Maria Lymbery +1
We consider flux-based multiple-porosity/multiple-permeability poroelasticity systems describing multiple-network flow and deformation in a poro-elastic medium, sometimes also refe…
Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics
Johannes Kraus, Carl-Martin Pfeiler, Dirk Praetorius +2
The tangent plane scheme is a time-marching scheme for the numerical solution of the nonlinear parabolic Landau-Lifshitz-Gilbert equation (LLG), which describes the time evolution…
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…
Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation
Johannes Kraus, Svetoslav Nakov, Sergey Repin
In this paper we have derived explicitly computable bounds on the error in energy norms for the fully nonlinear Poisson-Boltzmann equation. Together with the computable bounds, we…
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation
Johannes Kraus, Svetoslav Nakov, Sergey Repin
We consider a class of nonlinear elliptic problems associated with models in biophysics, which are described by the Poisson-Boltzmann equation (PBE). We prove mathematical correctn…