Superconvergence analysis of a nonconforming MFEM for nonlinear Schrödinger equation

DOI10.1080/00036811.2021.1877678zbMath1497.65187OpenAlexW3128888132MaRDI QIDQ5867291

Houchao Zhang, Wei-jun Zhu

Publication date: 13 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1877678

zbMATH Keywords

generalized nonlinear Schrödinger equationsuperclosenonconforming mixed finite element methodsuperconvergence analysissemi-discrete and fully discrete schemes

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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