Finite element methods for Hamiltonian PDEs

55 mins 40 secs,  799.10 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.91 Mbits/sec
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Description: Stern, A
Wednesday 14th August 2019 - 15:00 to 16:00
 
Created: 2019-08-16 15:17
Collection: Geometry, compatibility and structure preservation in computational differential equations
Publisher: Isaac Newton Institute
Copyright: Stern, A
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Hamiltonian ODEs satisfy a symplectic conservation law, and there are many advantages to using numerical integrators that preserves this structure. This talk will discuss how the canonical Hamiltonian structure, and its preservation by a numerical method, can be generalized to PDEs. I will also provide a basic introduction to the finite element method and, time permitting, discuss how some classic symplectic integrators can be understood from this point of view.
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