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Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity.
- Source :
-
Computers & Mathematics with Applications . Nov2019, Vol. 78 Issue 10, p3363-3374. 12p. - Publication Year :
- 2019
-
Abstract
- In this paper, we propose and analyze a new finite element method for a semilinear elliptical problem with small viscosity. Firstly, we prove the existence and uniqueness of solution for its variational problem. Then, we obtain the stability and convergence of the corresponding finite element Galerkin approximation. Furthermore, we derive the optimal error estimates in the L 2 and H 1 norms for the finite element approximations respectively. Finally, several numerical experiments are provided to confirm the above theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE element method
*VISCOSITY
*GALERKIN methods
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 78
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 139120752
- Full Text :
- https://doi.org/10.1016/j.camwa.2019.05.009