17 citations · 21 across the 8 of their papers we have counts for
9 papers
On the Spline-Based Parameterisation of Plane Graphs via Harmonic Maps
Jochen Hinz
This paper presents a spline-based parameterisation framework for plane graphs. The plane graph is characterised by a collection of curves forming closed loops that fence-off plana…
PDE-Based Parameterisation Techniques for Planar Multipatch Domains
Jochen Hinz, Annalisa Buffa
This paper presents a PDE-based parameterisation framework for addressing the planar surface-to-volume (StV) problem of finding a valid description of the domain's interior given n…
A shape derivative approach to domain simplification
Jochen Hinz, Ondine Chanon, Alessandra Arrigoni +1
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 simultaneo…
The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications
Jochen Hinz, Andrzej Jaeschke, Matthias Möller +1
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 formulati…
Goal-Oriented Adaptive THB-Spline Schemes for PDE-Based Planar Parameterization
Jochen Hinz, Michael Abdelmalik, Matthias Möller
This paper presents a PDE-based planar parameterization framework with support for Truncated Hierarchical B-Splines (THB-splines). For this, we adopt the a posteriori refinement st…
Isogeometric Analysis of the Gray-Scott Reaction-Diffusion Equations for Pattern Formation on Evolving Surfaces and Applications to Human Gyrification
Jochen Hinz, Joost van Zwieten, Matthias Möller +1
We propose a numerical scheme based on the principles of Isogeometric Analysis (IgA) for a geometrical pattern formation induced evolution of manifolds. The development is modelled…
Boundary-Conforming Finite Element Methods for Twin-Screw Extruders using Spline-Based Parameterization Techniques
Jochen Hinz, Jan Helmig, Matthias Möller +1
This paper presents a novel spline-based meshing technique that allows for usage of boundary-conforming meshes for unsteady flow and temperature simulations in co-rotating twin-scr…
An IGA Framework for PDE-Based Planar Parameterization on Convex Multipatch Domains
Jochen Hinz, Matthias Möller, Cornelis Vuik
The first step towards applying isogeometric analysis techniques to solve PDE problems on a given domain consists in generating an analysis-suitable mapping operator between parame…
Isogeometric Parametrization Inspired by Large Elastic Deformation
Alexander Shamanskiy, Michael Helmut Gfrerer, Jochen Hinz +1
The construction of volumetric parametrizations for computational domains is a key step in the pipeline of isogeometric analysis. Here, we investigate a solution to this problem ba…