activity
20222026
most citedIsogeometric analysis for multi-patch structured Kirchhoff-Love shells

53 citations · 88 across the 7 of their papers we have counts for

collaborators

8 papers

math.NA2026

Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction

Jingya Li, Ye Ji, Hugo Verhelst +2

Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform…

math.NA2025

Isogeometric multi-patch shell analysis using the Geometry + Simulation Modules

Hugo M. Verhelst, Angelos Mantzaflaris, Matthias Möller

Isogeometric Analysis (IGA) bridges Computer-Aided Design (CAD) and Finite Element Analysis (FEA) by employing splines as a common basis for geometry and analysis. One of the advan…

math.NA2025

IsoGeometric Suitable Coupling Methods for Partitioned Multiphysics Simulation with Application to Fluid-Structure Interaction

Jing-Ya Li, Hugo M. Verhelst, Henk den Besten +1

This paper presents spline-based coupling methods for partitioned multiphysics simulations, specifically designed for isogeometric analysis (IGA) based solvers. Traditional vertex-…

math.NA2024

A Wrinkling Model for General Hyperelastic Materials based on Tension Field Theory

H. M. Verhelst, M. Möller, J. H. Den Besten

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane…

math.NA2023★ 22 cited

A comparison of smooth basis constructions for isogeometric analysis

H. M. Verhelst, P. Weinmüller, A. Mantzaflaris +2

In order to perform isogeometric analysis with increased smoothness on complex domains, trimming, variational coupling or unstructured spline methods can be used. The latter two cl…

math.NA2023★ 7 cited

Goal-Adaptive Meshing of Isogeometric Kirchhoff-Love Shells

H. M. Verhelst, A. Mantzaflaris, M. Möller +1

Mesh adaptivity is a technique to provide detail in numerical solutions without the need to refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be d…

math.NA2023★ 6 cited

An Adaptive Parallel Arc-Length Method

H. M. Verhelst, J. H. Den Besten, M. Möller

Parallel computing is omnipresent in today's scientific computer landscape, starting at multicore processors in desktop computers up to massively parallel clusters. While domain de…

math.NA2022★ 53 cited

Isogeometric analysis for multi-patch structured Kirchhoff-Love shells

Andrea Farahat, Hugo M. Verhelst, Josef Kiendl +1

We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertic…