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Jochen Peter Hinz

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Related publications (4)

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The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications

Jochen Peter Hinz

This paper proposes a shape optimization algorithm based on the principles of Isogeometric Analysis (IGA) in which the parameterization of the geometry enters the problem formulation as an additional PDE-constraint. Inspired by the isoparametric principle ...

2021

A Shape Derivative Approach to Domain Simplification

Alessandra Arrigoni, Annalisa Buffa, Ondine Gabrielle Chanon, Jochen Peter Hinz

The objective of this study is to address the difficulty of simplifying the geometric model in which a differential problem is formulated, also called defeaturing, while simultaneously ensuring that the accuracy of the solution is maintained under control. ...

Elsevier Sci Ltd2023

A spline-based hexahedral mesh generator for patient-specific coronary arteries

Annalisa Buffa, Simone Deparis, Jochen Peter Hinz, Fabio Marcinno

This paper presents a spline-based hexahedral mesh generator for tubular geometries commonly encountered in hæmodynamics studies, in particular coronary arteries. We focus on techniques for accurately meshing vessels with stenoses and aneurysms, as well as ...

2025

On the use of elliptic PDEs for the parameterisation of planar multipatch domains

Annalisa Buffa, Jochen Peter Hinz

This paper presents a parameterisation framework based on (inverted) elliptic PDEs for addressing the planar parameterisation problem of finding a valid description of the domain’s interior given no more than a spline-based description of its boundary cont ...

2024