Error estimates for a class of energy- and Hamiltonian-preserving local discontinuous Galerkin methods for the Klein-Gordon-Schrödinger equations

DOI10.1007/s12190-019-01289-4zbMath1475.65097OpenAlexW2980136504MaRDI QIDQ2053290

He Yang

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01289-4

zbMATH Keywords

error estimatesenergy conservationKlein-Gordon-Schrödinger equationslocal discontinuous Galerkin methodsHamiltonian-preserving

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations ⋮ Optimal error estimate of a decoupled conservative local discontinuous Galerkin method for the Klein-Gordon-Schrödinger equations

Cites Work

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