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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...
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05/10/2023
Algebraic multigrid methods for metric-perturbed coupled problems
We develop multilevel methods for interface-driven multiphysics problems...
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03/31/2023
The modelling error in multi-dimensional time-dependent solute transport models
Starting from full-dimensional models of solute transport, we derive and...
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11/28/2022
Domain decomposition solvers for operators with fractional interface perturbations
Operators with fractional perturbations are crucial components for robus...
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10/24/2022
HAZniCS – Software Components for Multiphysics Problems
We introduce the software toolbox HAZniCS for solving interface-coupled ...
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09/23/2022
Rational approximation preconditioners for multiphysics problems
We consider a class of mathematical models describing multiphysics pheno...
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06/05/2022
Learning a Mesh Motion Technique with Application to Fluid-Structure Interaction and Shape Optimization
Mesh degeneration is a bottleneck for fluid-structure interaction (FSI) ...
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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...
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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...
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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...
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01/04/2021
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method
We present a methodology combining neural networks with physical princip...
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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...
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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...
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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...
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01/15/2020
Robust preconditioning of monolithically coupled multiphysics problems
In many applications, one wants to model physical systems consisting of ...
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12/19/2019