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20132022
most citedCondition number analysis and preconditioning of the finite cell method

159 citations · 225 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.NA2022★ 8 cited

A Robust and Accurate Adaptive Approximation Method for a Diffuse-Interface Model of Binary-Fluid Flows

T. H. B. Demont, G. J. van Zwieten, C. Diddens +1

We present an adaptive simulation framework for binary-fluid flows, based on the Abels-Garcke-Grün Navier-Stokes-Cahn-Hilliard (AGG NSCH) diffuse-interface model. The adaptive-refi…

math.NA2016★ 23 cited

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…

math.NA2016★ 159 cited

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…

math.NA2015★ 2 cited

Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations

E. H. van Brummelen, M. Shokrpour-Roudbari, G. J. van Zwieten

We consider a computational model for complex-fluid-solid interaction based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The…

math.NA2013★ 9 cited

Discontinuities without discontinuity: The Weakly-enforced Slip Method

G. J. van Zwieten, E. H. van Brummelen, K. G. van der Zee +2

Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However, the methods used in pra…