159 citations · 412 across the 24 of their papers we have counts for
5 papers · 1 filter
Worst-case multi-objective error estimation and adaptivity
E. H. van Brummelen, S. Zhuk, G. J. van Zwieten
This paper introduces a new computational methodology for determining a-posteriori multi-objective error estimates for finite-element approximations, and for constructing correspon…
Diffuse-Interface Two-Phase Flow Models with Different Densities: A New Quasi-Incompressible Form and a Linear Energy-Stable Method
Mahnaz Shokrpour Roudbari, Gorkem Simsek, E. Harald van Brummelen +1
While various phase-field models have recently appeared for two-phase fluids with different densities, only some are known to be thermodynamically consistent, and practical stable…
Condition number analysis and preconditioning of the finite cell method
F. de Prenter, C. V. Verhoosel, G. J. van Zwieten +1
The (Isogeometric) Finite Cell Method - in which a domain is immersed in a structured background mesh - suffers from conditioning problems when cells with small volume fractions oc…
A Multiscale Diffuse-Interface Model for Two-Phase Flow in Porous Media
Mahnaz Shokrpour Roudbari, E. Harald van Brummelen, Clemens V. Verhoosel
In this paper we consider a multiscale phase-field model for capillarity-driven flows in porous media. The presented model constitutes a reduction of the conventional Navier-Stokes…
An Entropy Stable Discontinuous Galerkin Finite-Element Moment Method for the Boltzmann Equation
M. R. A. Abdelmalik, E. H. van Brummelen
This paper presents a numerical approximation technique for the Boltzmann equation based on a moment system approximation in velocity dependence and a discontinuous Galerkin finite…