Discontinuous Hamiltonian finite element method for linear hyperbolic systems

DOI10.1007/s10915-008-9191-yzbMath1203.37126OpenAlexW2127690252WikidataQ61835675 ScholiaQ61835675MaRDI QIDQ618359

Onno Bokhove, J. J. W. van der Vegt, Yan Xu

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9191-y

zbMATH Keywords

Maxwell equationsdiscontinuous Galerkin methodHamiltonian dynamicsnumerical fluxrotating shallow water equationsacoustic equations

Mathematics Subject Classification ID

Related Items (6)

Symplectic Hamiltonian finite element methods for electromagnetics ⋮ Hamiltonian discontinuous Galerkin FEM for linear, rotating incompressible Euler equations: inertial waves ⋮ A symplectic finite element method based on Galerkin discretization for solving linear systems ⋮ Hamiltonian discontinuous Galerkin FEM for linear, stratified (in)compressible Euler equations: internal gravity waves ⋮ Symplectic Hamiltonian finite element methods for linear elastodynamics ⋮ Structure-Preserving Reduced- Order Modeling of Non-Traditional Shallow Water Equation

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• Parcel Eulerian–Lagrangian fluid dynamics of rotating geophysical flows
• Geometric numerical integration illustrated by the Störmer–Verlet method
• The Ultra-Weak Variational Formulation for Elastic Wave Problems

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