Multisymplecticity of hybridizable discontinuous Galerkin methods

DOI10.1007/s10208-019-09415-1zbMath1472.65147arXiv1705.08609OpenAlexW2617363427WikidataQ128028887 ScholiaQ128028887MaRDI QIDQ2291729

Ari Stern, Robert I. Mclachlan

Publication date: 31 January 2020

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08609

zbMATH Keywords

Hamiltonian PDEsmultisymplectic methodshybridizable discontinuous Galerkin methodsHDG methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (5)

Multisymplectic Hamiltonian variational integrators ⋮ Discrete conservation laws for finite element discretisations of multisymplectic PDEs ⋮ Functional equivariance and conservation laws in numerical integration ⋮ Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models ⋮ Conservative Galerkin methods for dispersive Hamiltonian problems

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