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Ushijirna, T. (1977) On the Uniform Convergence for the Lumped Mass Approximation to the Heat Equation. Journal of the Faculty of Science, the University of Tokyo, 24, 471-490.

has been cited by the following article:

• 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.