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Superconvergence analysis of an [formula omitted]-Galerkin mixed finite element method for nonlinear BBM equation.
- Source :
-
Applied Mathematics Letters . Apr2019, Vol. 90, p146-153. 8p. - Publication Year :
- 2019
-
Abstract
- Abstract An H 1 -Galerkin mixed finite element method (MFEM) is developed for the Benjamin–Bona–Mahony (BBM) equation with the bilinear element and zero order Raviart–Thomas element pair (Q 11 ∕ Q 10 × Q 01). Then based on the special interpolation properties of the above two elements and the mean-value technique, the supercloseness and superconvergence results of order O (h 2) for the semi-discrete scheme and of order O (h 2 + (Δ t) 2) for the Crank–Nicolson fully-discrete scheme are deduced for the original variable u in H 1 -norm and the flux p → in H (d i v , Ω) -norm, respectively. Finally, a numerical example is carried out to demonstrate the theoretical analysis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GALERKIN methods
*FINITE element method
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 90
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 133600458
- Full Text :
- https://doi.org/10.1016/j.aml.2018.10.025