Isogeometric Analysis

Isogeometric Analysis (IGA) is a recently developed numerical modeling approach designed to close the gap between computer-aided design (CAD) and numerical analysis. 

As the term "isogeometric" implies, it utilizes the same basis functions (generally B-splines or NURBR) that define a component's geometry for the analysis. This eliminates the need for the meshing process required in traditional finite element methods and provides more accurate results in many applications. 

I applied IGA to the vibro-acoustic characterization of mechanical components using the Kirchhoff-Love thin-shell framework with an accurate thickness description [2]. I also contributed to theoretical topics such as IGA-collocation [3-4] and patch coupling [5-6].

References

[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] Greco, F., L., Coox, F., Maurin, V.K., Balla, E., Deckers, W., Desmet. "Reverse engineering of deep drawn components with an isogeometric framework". Computers and Structures 201. (2018): 15 – 25.

[3] Maurin, Florian, Francesco, Greco, Laurens, Coox, Dirk, Vandepitte, Wim, Desmet. "Isogeometric collocation for Kirchhoff–Love plates and shells". Computer Methods in Applied Mechanics and Engineering 329. (2018): 396 – 420.

[4] Maurin, Florian, Francesco, Greco, Sander, Dedoncker, Wim, Desmet. "Isogeometric analysis for nonlinear planar Kirchhoff rods: Weighted residual formulation and collocation of the strong form". Computer Methods in Applied Mechanics and Engineering 340. (2018): 1023 – 1043.

[5] Coox, Laurens, Francesco, Greco, Onur, Atak, Dirk, Vandepitte, Wim, Desmet. "A robust patch coupling method for NURBS-based isogeometric analysis of non-conforming multipatch surfaces". Computer Methods in Applied Mechanics and Engineering 316. (2017): 235 – 260.

[6] Coox, Laurens, Florian, Maurin, Francesco, Greco, Elke, Deckers, Dirk, Vandepitte, Wim, Desmet. "A flexible approach for coupling NURBS patches in rotationless isogeometric analysis of Kirchhoff–Love shells". Computer Methods in Applied Mechanics and Engineering 325. (2017): 505 – 531.