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Adaptive finite element methods for the Laplace eigenvalue problem.
- Source :
- Journal of Numerical Mathematics; 2010, Vol. 18 Issue 4, p281-302, 22p
- Publication Year :
- 2010
-
Abstract
- We consider an adaptive finite element method (AFEM) for the Laplace eigenvalue problem in bounded polygonal or polyhedral domains. We provide an a posteriori error analysis based on a residual type estimator which consists of element and face residuals. The a posteriori error analysis further involves an oscillation term. We prove a reduction in the energy norm of the discretization error and the oscillation term. Numerical results are given illustrating the performance of the AFEM. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15702820
- Volume :
- 18
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 56474795
- Full Text :
- https://doi.org/10.1515/JNUM.2010.014