TITLE:
Lumped Mass Finite Element Method of the Nonlinear BBM Equation
AUTHORS:
Hongying Si
KEYWORDS:
Lumped Mass, BBM Equation, Crank-Nicolson Scheme, Nonconforming Fi-nite Element
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.11 No.9,
September
23,
2021
ABSTRACT: In this
paper, the full-discrete approximation scheme of the lumped mass nonconforming
finite element method for BBM equation is discussed. Without the Riesz
projection used in the traditional finite element analysis, the optimal error
estimations are derived based on interpolation technique and special properties
of element.