[Dottorcomp] Seminari di Matematica Applicata, 25/02/2025, Hugo Verhelst

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 25 Febbraio 2025, alle ore 15 precise, presso la sala conferenze
dell'IMATI di Pavia,

Hugo Verhelst (DICAR Unipv)

terrà un seminario dal titolo:

Towards novel refinement strategies for isogeometric analysis.

Abstract.
Introduced in 2005 [1], the concept of Isogeometric Analysis (IGA) is to
bridge the gap between Computer-Aided Design (CAD) and Finite Element
Analysis (FEA) by using splines as a common basis for design and analysis.
Even though, two decades later, the seamless interaction between CAD and
FEA seems to be beneficial only for simple geometries, IGA has shown its
benefits primarily in the context of higher-order continuity, which is
useful for higher-order equations such as the Kirchhoff–Love shell model
[2], or the Cahn–Hilliard equation [3]. In addition, IGA brought
researchers in CAD and FEA closer together, yielding several new points of
view in the world of computational mechanics.
In this talk, I will present ongoing work on the development of adaptive
spline methods for IGA. On the one hand, it focuses on two crucial aspects
on the geometry side: i) investigation of anisotropic spline constructions,
and, ii) relocation-based adaptivity for IGA. On the other hand, I
elaborate on two possible applications of the developed geometric methods:
I) phase-field computations, and, II) space-time simulations. The work is a
result of ongoing collaborations with the Department of Mathematics and
Computer Science (DIMAI) at the University of Florence, the Department of
Civil Engineering and Architecture (DiCAr) of the University of Pavia and
the Delft Institute of Applied Mathematics (DIAM) at TU Delft.
[1] Hughes, Thomas JR, John A. Cottrell, and Yuri Bazilevs. “Isogeometric
analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement.”
Computer methods in applied mechanics and engineering 194.39-41 (2005):
4135-4195.
[2] Kiendl, Josef, et al. “Isogeometric shell analysis with Kirchhoff–Love
elements.” Computer methods in applied mechanics and engineering 198.49-52
(2009): 3902-3914.
[3] Gómez, Héctor, et al. “Isogeometric analysis of the Cahn–Hilliard
phase-field model.” Computer methods in applied mechanics and engineering
197.49-50 (2008): 4333-4352.

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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/