Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator

DOI10.1016/j.camwa.2022.10.008zbMath1504.65213OpenAlexW4307259826MaRDI QIDQ2107183

Houchao Zhang, Dong-Yang Shi

Publication date: 1 December 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.10.008

zbMATH Keywords

superconvergenceFEMenergy-preservingnonlinear Schrödinger equation with wave operatorsplitting and cut-off function techniquesunconditional optimal error estimates

Mathematics Subject Classification ID

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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