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02/01/2023
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces
The paper introduces a geometrically unfitted finite element method for ...
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12/22/2022
An Accurate and Robust Eulerian Finite Element Method for Partial Differential Equations on Evolving Surfaces
In this paper we present a new Eulerian finite element method for the di...
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05/25/2022
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
We study the diffusion of tangential tensor-valued data on curved surfac...
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03/03/2022
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations
The paper considers a system of equations that models a lateral flow of ...
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02/18/2022
Analysis of optimal preconditioners for CutFEM
In this paper we consider a class of unfitted finite element methods for...
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10/27/2021
On derivations of evolving surface Navier-Stokes equations
In recent literature several derivations of incompressible Navier-Stokes...
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07/02/2021
Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method
In this paper we consider a class of fictitious domain finite element me...
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03/05/2021
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
In this paper we study parametric TraceFEM and parametric SurfaceFEM (SF...
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11/05/2020
Analysis of finite element methods for surface vector-Laplace eigenproblems
In this paper we study finite element discretizations of a surface vecto...
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06/02/2020
Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model
We study the Schwarz overlapping domain decomposition method applied to ...
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03/16/2020
Error analysis of higher order trace finite element methods for the surface Stokes equations
The paper studies a higher order unfitted finite element method for the ...
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10/21/2019
Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation
We consider a surface Stokes problem in stream function formulation on a...
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09/18/2019
Higher order Trace Finite Element Methods for the Surface Stokes Equation
In this paper a class of higher order finite element methods for the dis...
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09/06/2019
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs
The paper studies a geometrically unfitted finite element method (FEM), ...
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09/06/2019