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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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01/15/2023
Stabilized cut discontinuous Galerkin methods for advection-reaction problems on surfaces
We develop a novel cut discontinuous Galerkin (CutDG) method for station...
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12/13/2019
A multimesh finite element method for the Navier-Stokes equations based on projection methods
The multimesh finite element method is a technique for solving partial d...
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10/07/2019
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
This article is concerned with the discretisation of the Stokes equation...
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02/16/2019
A partition of unity approach to fluid mechanics and fluid-structure interaction
For problems involving large deformations of thin structures, simulating...
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07/15/2018
A stabilized cut discontinuous Galerkin framework: II. Hyperbolic problems
We present the second part of a stabilized cut discontinuous Galerkin (c...
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07/04/2018
A Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces
We develop a stabilized cut finite element method for the stationary con...
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03/18/2018
A stabilized cut discontinuous Galerkin framework: I. Elliptic boundary value and interface problems
We develop a stabilized cut discontinuous Galerkin framework for the num...
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09/18/2017