collaborators

7 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.NA2025

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.NA2025

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.NA2025

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…