research
∙
07/17/2023
Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers
In the context of micro-circulation, the coexistence of two distinct len...
share
research
∙
05/10/2023
Algebraic multigrid methods for metric-perturbed coupled problems
We develop multilevel methods for interface-driven multiphysics problems...
research
∙
10/24/2022
HAZniCS – Software Components for Multiphysics Problems
We introduce the software toolbox HAZniCS for solving interface-coupled ...
research
∙
10/12/2022
Model order reduction of solidification problems
Advection driven problems are known to be difficult to model with a redu...
research
∙
09/23/2022
Rational approximation preconditioners for multiphysics problems
We consider a class of mathematical models describing multiphysics pheno...
research
∙
05/05/2022
Investigating molecular transport in the human brain from MRI with physics-informed neural networks
In recent years, a plethora of methods combining deep neural networks an...
research
∙
11/10/2021
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
In this paper we advance the analysis of discretizations for a fluid-str...
research
∙
10/14/2021
Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form
We construct mesh-independent and parameter-robust monolithic solvers fo...
research
∙
09/30/2021
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion
We introduce a stress/total-pressure formulation for poroelasticity that...
research
∙
12/23/2020
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis
In this paper we analyze an optimization problem with limited observatio...
research
∙
11/10/2020
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure
We develop robust solvers for a class of perturbed saddle-point problems...
research
∙
07/20/2020
Accurate Discretization Of Poroelasticity Without Darcy Stability – Stokes-Biot Stability Revisited
In this manuscript we focus on the question: what is the correct notion ...
research
∙
04/06/2020
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers
Coupled partial differential equations defined on domains with different...
research
∙
03/21/2020
Parameter robust preconditioning by congruence for multiple-network poroelasticity
The mechanical behaviour of a poroelastic medium permeated by multiple i...
research
∙
03/21/2020
Parameter robust preconditioning for multi-compartmental Darcy equations
In this paper, we propose a new finite element solution approach to the ...
research
∙
01/15/2020
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form
The coupled Darcy-Stokes problem is widely used for modeling fluid trans...
research
∙
01/15/2020