Optimal \(L^2\) error estimates of mass- and energy- conserved FE schemes for a nonlinear Schrödinger-type system

DOI10.1016/j.cam.2024.116313MaRDI QIDQ6653566

Wentao Cai, Zhuoyue Zhang

Publication date: 16 December 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methodCrank-Nicolson methodmass and energy conservationoptimal \(L^2\) error estimate

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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