A nonconforming quadrilateral finite element approximation to nonlinear Schrödinger equation

DOI10.1016/S0252-9602(17)30024-3zbMath1399.65336OpenAlexW2609137471MaRDI QIDQ1752026

Xin Liao, Lele Wang, Dong-Yang Shi

Publication date: 25 May 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30024-3

zbMATH Keywords

nonlinear Schrödinger equationsupercloseness and superconvergencemodified quasi-Wilson element

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation ⋮ Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation ⋮ Nonconforming finite element method for a generalized nonlinear Schrödinger equation ⋮ Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations ⋮ Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations ⋮ Superconvergence analysis of a nonconforming MFEM for nonlinear Schrödinger equation

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