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.
Highlights
The lumped mass finite element method is a kind of modified finite element method
The lumped mass finite element method is favored by scholars at home and abroad
The numerical solution of problem has been studied in [11] [12] [13] [14], among them, the standard Galerkin method, the finite difference method and the general method are applied to this equation
Summary
The lumped mass finite element method is a kind of modified finite element method. It has the same convergence and error estimation as the traditional finite element method, but it has a smaller amount of calculation. (2021) Lumped Mass Finite Element Method of the Nonlinear BBM Equation. The full-discrete approximation scheme of the lumped mass nal of Applied Sciences, 11, 1028-1037. It has the same convergence and error estimation as the traditional finite element method, but it has a smaller amount of calculation.
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