Spline-based methods for the discretisation of PDEs: state of the art and perspectives

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Event details

Date 02.03.2015
Hour 16:1517:15
Speaker Prof. Annalisa BUFFA  (IMATI-CNR, Italy)
Location
Category Conferences - Seminars
The use of splines as main mathematical primitives for the discretisation of partial differential equations has gained a lot of momentum since the introduction of isogeometric analysis by T.J.R. Hughes et al. in 2005. Indeed, spline-based methods have been proved an extremely powerful framework for the design of innovative numerical methods enjoying properties that would be hard to achieve with classical discretisation strategies as finite elements.

I will survey my recent contributions in the field, from the definition of optimal adaptive strategies based on non-tensor product splines, to the construction of spline complexes and their geometric structure.  Finally, I will address future research perspectives and give an idea of all future steps that are needed to make these techniques ready to be used in the context of complex and industrial oriented applications.

Practical information

  • Informed public
  • Free

Organizer

  • Prof. Ph. Michel

Contact

  • Prof. Ph. Michel

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