Conservative EQ1rot nonconforming FEM for nonlinear Schrödinger equation with wave operator

DOI10.1002/num.23057OpenAlexW4382282963MaRDI QIDQ6147895

Shanshan Peng, Meng Li, Lingli Wang

Publication date: 1 February 2024

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.23057

zbMATH Keywords

superconvergencemass and energy conservationnonlinear Schrödinger equation with wave operatorerror splittingleap-frog finite element methodslogarithmic Schrödinger equation with wave operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

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