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06/05/2023
Cut finite element discretizations of cell-by-cell EMI electrophysiology models
The EMI (Extracellular-Membrane-Intracellular) model describes electrica...
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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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01/27/2022
Optimal control of Hopf bifurcations
We introduce a numerical technique for controlling the location and stab...
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11/26/2021
A-posteriori error estimation and adaptivity for multiple-network poroelasticity
The multiple-network poroelasticity (MPET) equations describe deformatio...
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11/24/2021
Geometrically reduced modelling of pulsatile flow in perivascular networks
Flow of cerebrospinal fluid in perivascular spaces is a key mechanism un...
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02/04/2021
Accurate numerical simulation of electrodiffusion and water movement in brain tissue
Mathematical modelling of ionic electrodiffusion and water movement is e...
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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 ...
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03/21/2020
Parameter robust preconditioning by congruence for multiple-network poroelasticity
The mechanical behaviour of a poroelastic medium permeated by multiple i...
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03/21/2020
Parameter robust preconditioning for multi-compartmental Darcy equations
In this paper, we propose a new finite element solution approach to the ...
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03/04/2020
Fast uncertainty quantification of tracer distribution in the brain interstitial fluid with multilevel and quasi Monte Carlo
Mathematical models in biology involve many parameters that are uncertai...
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11/04/2019
