Five lectures on DPG methods
Jay Gopalakrishnan
TL;DR
This paper provides an educational overview of Discontinuous Petrov-Galerkin (DPG) methods, explaining their principles and applications for graduate students in numerical analysis.
Contribution
It introduces the fundamental concepts and theoretical foundations of DPG methods, serving as a comprehensive educational resource.
Findings
Clarifies the mathematical framework of DPG methods
Highlights advantages of DPG in stability and accuracy
Provides illustrative examples of DPG applications
Abstract
This is a set of lecture notes introducing graduate students to the topic of Discontinuous Petrov-Galerkin (DPG) methods.
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 Numerical Methods in Computational Mathematics · Advanced Mathematical Modeling in Engineering · Model Reduction and Neural Networks