Oberwolfach report : Discretization of Hilbert complexes
Kaibo Hu
TL;DR
This report reviews the discretization of Hilbert complexes, focusing on conforming finite element methods, to advance understanding and application of these mathematical structures in computational analysis.
Contribution
It provides a comprehensive overview of discretization techniques for Hilbert complexes, emphasizing conforming finite element approaches, and highlights recent developments in the field.
Findings
Conforming finite element methods effectively discretize Hilbert complexes.
Discretization techniques improve computational solutions for complex mathematical problems.
The report identifies key challenges and future directions in discretizing Hilbert complexes.
Abstract
The report is based on an extended abstract for the MFO workshop "Hilbert Complexes: Analysis, Applications, and Discretizations", held at Oberwolfach during 19-25 June 2022. The aim is to provide an overview of some aspects of discretization of Hilbert complexes with an emphasis on conforming finite elements.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Graph theory and applications · Finite Group Theory Research