3 papers
math.NA2026
Error estimates for the patch bubble method for convection-dominated channel flow problem
Eberhard Bänsch, Pedro Morin, Itatí Zocola
We present error estimates for the BMZ (Bubble Mesh Zoom) residual-free bubble method applied to a convection-diffusion equation in the convection-dominated regime. The method inco…
math.NA2025
Derivation and Numerical Simulation of a Thermodynamically Consistent Magneto Two-phase Flow Model
Eberhard Bänsch, Jonas Knoch, Nicolas Neuss +1
Motivated by Magnetic Drug Targeting (MDT), we derive a thermodynamically consistent two-phase model for the coupled dynamics of superparamagnetic iron oxide nanoparticles (SPIONs)…
math.NA2025
Patch bubbles for advection-dominated steady and unsteady problems
Eberhard Bänsch, Pedro Morin, Itatí Zocola
A novel variant of the \emph{residual-free bubble} method (RFB) for advection dominated problems is presented. Since the usual RFB still suffers from oscillations and strong under/…