activity
20162026
most citedCondition number analysis and preconditioning of the finite cell method

159 citations · 460 across the 24 of their papers we have counts for

collaborators

24 papers

math.NA2026

Isogeometric Analysis for Explicit Wave Propagation in Poroelastic Media

Maarten M. Hodzelmans, René R. Hiemstra, Joris J. C. Remmers +1

For higher-order discretizations of explicit dynamics problems, Isogeometric Analysis (IGA) has several favorable properties as compared to classical Finite Element Analysis (FEA).…

math.NA2026

Data-driven moving-window Bayesian inference for transient CO2-temperature network models of buildings

Zhijian Wang, Stein K. F. Stoter, Clemens V. Verhoosel +1

In this work, we proposes a CO2-temperature network model that links multi-zone mass transport and thermal dynamics through shared latent drivers, airflow and occupancy. The therma…

cs.CE2026

A comparison of Markov Chain Monte Carlo algorithms for Bayesian inference of constitutive models

Aricia Rinkens, Rodrigo L. S. Silva, Erik Quaeghebeur +2

Employing Bayesian inference to calibrate constitutive model parameters has grown substantially in recent years. Among the available techniques, Markov Chain Monte Carlo (MCMC) sam…

cs.CE2026

Discretization-optimized Bayesian model calibration for nonlinear constitutive modeling in heat conduction

Rodrigo L. S. Silva, Clemens Verhoosel, Erik Quarghebeur

We present a Bayesian model calibration framework for inferring nonlinear constitutive relationships in heat conduction problems, with a focus on temperature-dependent thermal cond…

physics.flu-dyn2026

Bayesian Model Selection for Complex Flows of Yield Stress Fluids

Aricia Rinkens, Clemens V. Verhoosel, Alexandra Alicke +2

Modeling yield stress fluids in complex flow scenarios presents significant challenges, particularly because conventional rheological characterization methods often yield material…

cs.CE2024

A probabilistic reduced-order modeling framework for patient-specific cardio-mechanical analysis

Robin Willems, Peter Förster, Sebastian Schöps +2

Cardio-mechanical models can be used to support clinical decision-making. Unfortunately, the substantial computational effort involved in many cardiac models hinders their applicat…

cs.CE2024★ 1 cited

Bayesian estimation and uncertainty quantification of a temperature-dependent thermal conductivity

Rodrigo L. S. Silva, Clemens Verhoosel, Erik Quaeghebeur

We consider the problem of estimating a temperature-dependent thermal conductivity model (curve) from temperature measurements. We apply a Bayesian estimation approach that takes i…

physics.med-ph2024

Echocardiogram-based ventricular isogeometric cardiac analysis using multi-patch fitted NURBS

Robin Willems, Lex Verberne, Clemens V. Verhoosel +1

Monitoring the cardiac function often relies on non-invasive vital measurements, electrocardiograms, and low-resolution echocardiograms. The monitoring data can be augmented with n…

physics.flu-dyn2023

Uncertainty quantification for the squeeze flow of generalized Newtonian fluids

Aricia Rinkens, Clemens V. Verhoosel, Nick O. Jaensson

The calibration of rheological parameters in the modeling of complex flows of non-Newtonian fluids can be a daunting task. In this paper we demonstrate how the framework of Uncerta…

math.NA2023★ 2 cited

Stabilized immersed isogeometric analysis for the Navier-Stokes-Cahn-Hilliard equations, with applications to binary-fluid flow through porous media

Stein K. F. Stoter, Tom B. van Sluijs, Tristan H. B. Demont +2

Binary-fluid flows can be modeled using the Navier-Stokes-Cahn-Hilliard equations, which represent the boundary between the fluid constituents by a diffuse interface. The diffuse-i…

physics.med-ph2023★ 21 cited

An isogeometric analysis framework for ventricular cardiac mechanics

Robin Willems, Koen L. P. M. Janssens, Peter H. M. Bovendeerd +2

The finite element method (FEM) is commonly used in computational cardiac simulations. For this method, a mesh is constructed to represent the geometry and, subsequently, to approx…

math.NA2023★ 24 cited

Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics

Stein K. F. Stoter, Sai C. Divi, E. Harald van Brummelen +3

In this article, we study the effect of small-cut elements on the critical time-step size in an immersogeometric context. We analyze different formulations for second-order (membra…

math.NA2022

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…

math.NA2022

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…

math.NA2022★ 20 cited

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…

math.NA2021★ 15 cited

Topology-preserving Scan-based Immersed Isogeometric Analysis

S. C. Divi, C. V. Verhoosel, F. Auricchio +2

To exploit the advantageous properties of isogeometric analysis (IGA) in a scan-based setting, it is important to extract a smooth geometric domain from the scan data (e.g., voxel…

math.NA2020

Unification of variational multiscale analysis and Nitsche's method, and a resulting boundary layer fine-scale model

Stein K. F. Stoter, Marco F. P. ten Eikelder, Frits de Prenter +4

We show that in the variational multiscale framework, the weak enforcement of essential boundary conditions via Nitsche's method corresponds directly to a particular choice of proj…

math.NA2019★ 44 cited

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…

math.NA2018★ 49 cited

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…

math.NA2018★ 46 cited

Skeleton-stabilized ImmersoGeometric Analysis for incompressible viscous flow problems

Tuong Hoang, Clemens V. Verhoosel, Chao-Zhong Qin +3

A Skeleton-stabilized ImmersoGeometric Analysis technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed formulation fits within t…

math.NA2017★ 19 cited

Skeleton-stabilized IsoGeometric Analysis: High-regularity Interior-Penalty methods for incompressible viscous flow problems

Tuong Hoang, Clemens V. Verhoosel, Ferdinando Auricchio +2

A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizin…

math.NA2017★ 60 cited

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…

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…

physics.flu-dyn2016

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…