Spline discrete differential forms
Kevin Dijkstra
Supervisor TU Delft: Deepesh Toshniwal
start of the project: December 2021
The Master project has been finished in November 2022
by the completion of the
Masters Thesis
and a final
presentation
has been given.
For working address etc. we refer to our
alumnipage.
Summary of the master project:
Finite element exterior calculus is a framework for designing stable and accurate finite element discretizations for a wide variety of systems of PDEs. The involved finite element spaces are constructed using discrete (piecewise polynomial) differential forms, and stability of the discrete problems is established by preserving at the discrete level the geometric, topological, algebraic and analytic structures that ensure well-posedness of the continuous problem. This MSc project will study certain spline discrete differential forms that have been proposed in the context of Isogeometric Analysis.
Contact information:
Kees
Vuik
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