Finite Element Exterior Calculus - 1
57 mins 50 secs,
840.44 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.93 Mbits/sec
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About this item
| Description: |
Arnold, D
Tuesday 9th July 2019 - 09:00 to 10:00 |
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| Created: | 2019-07-10 08:48 |
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| Collection: | Tutorial workshop |
| Publisher: | Isaac Newton Institute |
| Copyright: | Arnold, D |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | These lectures aim to provide an introduction and overview of Finite Element Exterior Calculus, a transformative approach to designing and understanding numerical methods for partial differential equations. The first lecture will introduce some of the key tools--chain complexes and their cohomology, closed operators in Hilbert space, and their marriage in the notion of Hilbert complexes--and explore their application to PDEs. The lectures will continue with a study of the properties needed to effectively discretize Hilbert complexes, illustrating the abstract framework on the concrete example of the de Rham complex and its applications to problems such as Maxwell's equation. The third lecture will get into differential forms and their discretization by finite elements, bringing in new tools like the Koszul complex and bounded cochain projections and revealing the Periodic Table of Finite Elements. Finally in the final lecture we will examine new complexes, their discretization, and applications. |
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| MPEG-4 Video * | 640x360 | 1.93 Mbits/sec | 840.44 MB | View | Download | |
| WebM | 640x360 | 507.0 kbits/sec | 214.82 MB | View | Download | |
| iPod Video | 480x270 | 522.1 kbits/sec | 221.16 MB | View | Download | |
| MP3 | 44100 Hz | 249.75 kbits/sec | 105.91 MB | Listen | Download | |
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