159 citations · 379 across the 8 of their papers we have counts for
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Scan-based immersed isogeometric flow analysis
Clemens V. Verhoosel, E. Harald van Brummelen, Sai C. Divi +1
This chapter reviews the work conducted by our team on scan-based immersed isogeometric analysis for flow problems. To leverage the advantageous properties of isogeometric analysis…
Stability and conditioning of immersed finite element methods: analysis and remedies
Frits de Prenter, Clemens Verhoosel, Harald van Brummelen +2
This review paper discusses the developments in immersed or unfitted finite element methods over the past decade. The main focus is the analysis and the treatment of the adverse ef…
Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines
Sai C. Divi, Pieter H. van Zuijlen, Tuong Hoang +5
We propose an adaptive mesh refinement strategy for immersed isogeometric analysis, with application to steady heat conduction and viscous flow problems. The proposed strategy is b…
Scalable multigrid methods for immersed finite element methods and immersed isogeometric analysis
F. de Prenter, C. V. Verhoosel, E. H. van Brummelen +4
Ill-conditioning of the system matrix is a well-known complication in immersed finite element methods and trimmed isogeometric analysis. Elements with small intersections with the…
Robust and parallel scalable iterative solutions for large-scale finite cell analyses
John N. Jomo, Frits de Prenter, Mohamed Elhaddad +7
The finite cell method is a highly flexible discretization technique for numerical analysis on domains with complex geometries. By using a non-boundary conforming computational dom…
A note on the penalty parameter in Nitsche's method for unfitted boundary value problems
Frits de Prenter, Christoph Lehrenfeld, André Massing
Nitsche's method is a popular approach to implement Dirichlet-type boundary conditions in situations where a strong imposition is either inconvenient or simply not feasible. The me…
Preconditioning immersed isogeometric finite element methods with application to flow problems
Frits de Prenter, Clemens Verhoosel, Harald van Brummelen
Immersed finite element methods generally suffer from conditioning problems when cut elements intersect the physical domain only on a small fraction of their volume. De Prenter et…
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…