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• W3082222428 endingPage "110520" @default.
• W3082222428 startingPage "110520" @default.
• W3082222428 abstract "In this work we propose a new, arbitrary order space-time finite element discretisation for Hamiltonian PDEs in multisymplectic formulation. We show that the new method which is obtained by using both continuous and discontinuous discretisations in space, admits a local and global conservation law of energy. We also show existence and uniqueness of solutions of the discrete equations. Further, we illustrate the error behaviour and the conservation properties of the proposed discretisation in extensive numerical experiments on the linear and nonlinear wave equation and on the nonlinear Schrodinger equation." @default.
• W3082222428 created "2020-09-08" @default.
• W3082222428 creator A5008467121 @default.
• W3082222428 creator A5034351252 @default.
• W3082222428 date "2021-11-01" @default.
• W3082222428 modified "2023-09-26" @default.
• W3082222428 title "Discrete conservation laws for finite element discretisations of multisymplectic PDEs" @default.
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• W3082222428 doi "https://doi.org/10.1016/j.jcp.2021.110520" @default.
• W3082222428 hasPublicationYear "2021" @default.
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