On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: energy conservation and multi-symplecticity

DOI10.1016/j.jcp.2020.109662OpenAlexW2998611001WikidataQ115350108 ScholiaQ115350108MaRDI QIDQ2125425

Yulong Xing, Zheng Sun

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13085

zbMATH Keywords

energy conservationdiscontinuous Galerkin methodsHamiltonian partial differential equationsmulti-symplecticity

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (6)

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise ⋮ Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations ⋮ Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation ⋮ Functional equivariance and conservation laws in numerical integration ⋮ A high-order linearly implicit energy-preserving Partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations ⋮ Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

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