Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system

DOI10.1016/j.camwa.2022.07.018OpenAlexW4290694483WikidataQ114201422 ScholiaQ114201422MaRDI QIDQ2172579

Yanhua Mei, Rong An

Publication date: 16 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.07.018

zbMATH Keywords

finite element methodextrapolation methodnonlinear Schrödinger systemunconditionally optimal error estimatesBDF2 scheme

Mathematics Subject Classification ID

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)

Related Items (1)

Unconditional optimal error estimates of a linearized mass- and energy-conservation FEM for a coupled nonlinear Schrödinger equations

Uses Software

• FreeFem++

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