Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation

DOI10.1016/j.apnum.2018.01.004zbMath1382.65316arXiv1609.08853OpenAlexW2525864047MaRDI QIDQ1696836

Lihai Ji, Zhihui Liu, Jialin Hong

Publication date: 15 February 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08853

zbMATH Keywords

convergencenonlinear Schrödinger equationoptimal error estimatesnumerical experimentcharge conservation lawlocal discontinuous Galerkin methodgeneralized alternating numerical flux

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) 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)

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