Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation

DOI10.1016/j.cnsns.2024.108387MaRDI QIDQ6649277

Xuemiao Xu, Dong-Yang Shi

Publication date: 5 December 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

BBM-Burgers equationnonconforming MFEMnew energy stable BDF2 schemeunconditional supercloseness and superconvergent estimates

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fixed-point theorems (47H10) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

This page was built for publication: Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation