Compatible finite element spaces for metrics with curvature

Duration: 59 mins 10 secs

Share this media item:

Embed this media item:

<iframe width="_width_" height="_height_" src="https://sms.cam.ac.uk/media/3071796/embed" frameborder="0" scrolling="no" allowfullscreen></iframe>

Choose size:

About this item

Available Formats

About this item

Description:	Christiansen, S Tuesday 1st October 2019 - 14:30 to 15:30


Created:	2019-10-01 15:38
Collection:	Geometry, compatibility and structure preservation in computational differential equations
Publisher:	Isaac Newton Institute
Copyright:	Christiansen, S
Language:	eng (English)


Abstract:	I will present some new finite element spaces for metrics with integrable curvature. These were obtained in the framework of finite element systems, developed for constructing differential complexes with adequate gluing conditions between the cells of a mesh. The new spaces have a higher regularity than those of Regge calculus, for which the scalar curvature contains measures supported on lower dimensional simplices (Dirac deltas). This is joint work with Kaibo Hu.

Abstract:

I will present some new finite element spaces for metrics with integrable curvature. These were obtained in the framework of finite element systems, developed for constructing differential complexes with adequate gluing conditions between the cells of a mesh. The new spaces have a higher regularity than those of Regge calculus, for which the scalar curvature contains measures supported on lower dimensional simplices (Dirac deltas). This is joint work with Kaibo Hu.

Available Formats

Format	Quality	Bitrate	Size
MPEG-4 Video	640x360	1.93 Mbits/sec	860.13 MB	View	Download
WebM	640x360	377.67 kbits/sec	163.71 MB	View	Download
iPod Video	480x270	522.05 kbits/sec	226.23 MB	View	Download
MP3	44100 Hz	249.72 kbits/sec	108.34 MB	Listen	Download
Auto *	(Allows browser to choose a format it supports)