An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions

DOI10.1007/s10092-017-0232-5zbMath1395.65090OpenAlexW2741427625MaRDI QIDQ1697285

Wei Shi, Kai Liu, Xin-Yuan Wu, Chang Ying Liu

Publication date: 15 February 2018

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-017-0232-5

zbMATH Keywords

finite element discretizationaverage vector field methodenergy-preserving schemesnonlinear Hamiltonian wave equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions ⋮ Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions ⋮ Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions ⋮ An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations ⋮ Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems

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