[Dottorcomp] Seminari di Matematica Applicata. Martedì 18 aprile. Deepesh Toshniwal.

[Stefano Lisini]

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

Martedì 18 aprile 2023, alle ore 16.15 precise, presso la sala conferenze
dell'IMATI-CNR di Pavia,

Deepesh Toshniwal (TU Delft)

terrà un seminario dal titolo:

Quadratic splines on unstructured meshes for fourth-order problems.


Abstract.

Isogeometric Analysis generalizes classical finite element analysis and
intends to integrate it with the field of Computer-Aided Design. A central
problem in achieving this objective is the reconstruction of
analysis-suitable models from Computer-Aided Design models, which is in
general a non-trivial and time-consuming task. This talk will present an
overview of new piecewise-quadratic spline constructions [1-3] that enable
model reconstruction, as well as simulation of high-order PDEs on the
reconstructed models. In particular, we will discuss splines on
unstructured meshes in both two and three dimensions.
[1] Toshniwal, D. (2022). Quadratic splines on quad-tri meshes:
Construction and an application to simulations on watertight
reconstructions of trimmed surfaces. Computer Methods in Applied Mechanics
and Engineering, 388, 114174.
[2] Koh, K. J., Toshniwal, D., & Cirak, F. (2021). An optimally convergent
smooth blended B-spline construction for unstructured quadrilateral and
hexahedral meshes. arXiv preprint arXiv:2111.04401.
[3] Takacs, T., & Toshniwal, D. (2022). Almost- splines: Biquadratic
splines on unstructured quadrilateral meshes and their application to
fourth order problems. arXiv preprint arXiv:2201.11491.

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