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7 papers · 2 filters
On the convergence of the Escalator Boxcar Train
Åke Brännström, Linus Carlsson, Daniel Simpson
The Escalator Boxcar Train (EBT) is a numerical method that is widely used in theoretical biology to investigate the dynamics of physiologically structured population models, i.e.,…
A Posteriori Error Analysis of Component Mode Synthesis for the Frequency Response Problem
Håkan Jakobsson, Mats G. Larson
We consider the frequency response problem and derive a posteriori error estimates for the discrete error in a reduced finite element model obtained using the component mode synthe…
A stabilized Nitsche fictitious domain method for the Stokes problem
Andre Massing, Mats G. Larson, Anders Logg +1
We develop a Nitsche fictitious domain method for the Stokes problem starting from a stabilized Galerkin finite element method with low order elements for both the velocity and the…
A stabilized Nitsche overlapping mesh method for the Stokes problem
André Massing, Mats G. Larson, Anders Logg +1
We develop a Nitsche-based formulation for a general class of stabilized finite element methods for the Stokes problem posed on a pair of overlapping, non-matching meshes. By ex- t…
An Adaptive Finite Element Splitting Method for the Incompressible Navier-Stokes Equations
Kristoffer Selim, Anders Logg, Mats G. Larson
We present an adaptive finite element method for the incompressible Navier--Stokes equations based on a standard splitting scheme (the incremental pressure correction scheme). The…
A cut finite element method for a Stokes interface problem
Peter Hansbo, Mats G. Larson, Sara Zahedi
We present a finite element method for the Stokes equations involving two immiscible incompressible fluids with different viscosities and with surface tension. The interface separa…