Lumped Mass Finite Element Method of BBM Equation on Rectangular Mesh

Hongying Si, Xianyong Wei

Abstract


In this paper, the full-discrete approximation scheme of the lumped mass nonconforming finite element method for the
nonlinear BBM equation is discussed on rectangular meshes. Firstly, we study the Crank-Nicolson full-discrete approximation scheme of the
lumped mass fi nite element method for the discussed problem. Secondly, error analysis between the solution of the BBM equation and the
solution of the approximated scheme are discussed. Without using traditional elliptic projection operator, the optimal error estimations are
obtained on anisotropic meshes.

Keywords


lumped mass; BBM equation; anisotropic; rectangular meshes

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References


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DOI: https://doi.org/10.18686/esta.v10i1.318

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