Extended ALE method for fluid–structure interaction problems with large structural displacements
Abstract Standard Arbitrary Lagrangian–Eulerian (ALE) methods for the simulation of fluid–
structure interaction (FSI) problems fail due to excessive mesh deformations when the …
structure interaction (FSI) problems fail due to excessive mesh deformations when the …
Geometrically higher order unfitted space-time methods for PDEs on moving domains
In this paper, we propose new geometrically unfitted space-time finite element methods for
partial differential equations posed on moving domains of higher order accuracy in space …
partial differential equations posed on moving domains of higher order accuracy in space …
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains
We analyse a Eulerian finite element method, combining a Eulerian time-step** scheme
applied to the time-dependent Stokes equations with the CutFEM approach using inf-sup …
applied to the time-dependent Stokes equations with the CutFEM approach using inf-sup …
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain
The paper addresses an error analysis of an Eulerian finite element method used for solving
a linearized Navier–Stokes problem in a time-dependent domain. In this study, the domain's …
a linearized Navier–Stokes problem in a time-dependent domain. In this study, the domain's …
[HTML][HTML] An adaptive space-time algorithm for the incompressible Navier-Stokes equations
A Boisneault, S Dubuis, M Picasso - Journal of Computational Physics, 2023 - Elsevier
A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes
equations. Time discretization is performed with the BDF2 method while continuous …
equations. Time discretization is performed with the BDF2 method while continuous …
On the implementation of an adaptive multirate framework for coupled transport and flow
This paper presents a multirate in time approach for coupled flow and transport problems
combined with goal-oriented error control based on the Dual Weighted Residual (DWR) …
combined with goal-oriented error control based on the Dual Weighted Residual (DWR) …
Higher-order discontinuous Galerkin time step** and local projection stabilization techniques for the transient Stokes problem
N Ahmed, S Becher, G Matthies - Computer Methods in Applied Mechanics …, 2017 - Elsevier
We introduce and analyze discontinuous Galerkin time discretizations coupled with
continuous finite element methods based on equal-order interpolation in space for velocity …
continuous finite element methods based on equal-order interpolation in space for velocity …
Cut finite element methods and ghost stabilization techniques for space‐time discretizations of the Navier–Stokes equations
M Anselmann, M Bause - International Journal for Numerical …, 2022 - Wiley Online Library
We propose and analyze computationally a new fictitious domain method, based on higher
order space‐time finite element discretizations, for the simulation of the nonstationary …
order space‐time finite element discretizations, for the simulation of the nonstationary …
A cost-efficient space-time adaptive algorithm for coupled flow and transport
In this work, a cost-efficient space-time adaptive algorithm based on the Dual Weighted
Residual (DWR) method is developed and studied for a coupled model problem of flow and …
Residual (DWR) method is developed and studied for a coupled model problem of flow and …
Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs
A Ern, F Schieweck - Mathematics of Computation, 2016 - ams.org
We analyze the discontinuous Galerkin method in time combined with a finite element
method with symmetric stabilization in space to approximate evolution problems with a …
method with symmetric stabilization in space to approximate evolution problems with a …