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Multisymplecticity of hybridizable discontinuous Galerkin methods Stern, Ari
Description
This talk discusses the application of hybridizable discontinuous Galerkin (HDG) methods to canonical Hamiltonian PDEs. We present necessary and sufficient conditions for an HDG method to satisfy a multisymplectic conservation law, when applied to such a system, and show that these conditions are satisfied by "hybridized" versions of several of the most commonly-used finite element methods. These finite element methods may therefore be used for high-order, structure-preserving discretization of Hamiltonian PDEs on unstructured meshes. (Joint work with Robert McLachlan.)
Item Metadata
Title |
Multisymplecticity of hybridizable discontinuous Galerkin methods
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-12T16:09
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Description |
This talk discusses the application of hybridizable discontinuous Galerkin (HDG) methods to canonical Hamiltonian PDEs. We present necessary and sufficient conditions for an HDG method to satisfy a multisymplectic conservation law, when applied to such a system, and show that these conditions are satisfied by "hybridized" versions of several of the most commonly-used finite element methods. These finite element methods may therefore be used for high-order, structure-preserving discretization of Hamiltonian PDEs on unstructured meshes.
(Joint work with Robert McLachlan.)
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Extent |
33 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Washington University in St. Louis
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Series | |
Date Available |
2017-12-10
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0361776
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International