A posteriori error estimation in the conforming finite element method based on its local conservativity and using local minimization

Comptes Rendus Mathematique

Volumn 346, Issue 11-12, 2008, Pages 687-690

  Vohralík, Martin ^a,b  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44449097492     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2008.03.006     Document Type: Article

References (10)

1. Bank R.E., and Rose D.J. Some error estimates for the box method. SIAM J. Numer. Anal. 24 4 (1987) 777-787
2. I. Cheddadi, R. Fučík, M.I. Prieto, M. Vohralík, Computable a posteriori error estimates in the finite element method based on its local conservativity: improvements using local minimization, (2008), submitted for publication
3. I. Cheddadi, R. Fučík, M.I. Prieto, M. Vohralík, Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems, (2008), submitted for publication
4. Destuynder P., and Métivet B. Explicit error bounds in a conforming finite element method. Math. Comp. 68 228 (1999) 1379-1396
5. A. Ern, A.F. Stephansen, M. Vohralík, Improved energy norm a posteriori error estimation based on flux reconstruction for discontinuous Galerkin methods, (2007), submitted for publication
6. Luce R., and Wohlmuth B.I. A local a posteriori error estimator based on equilibrated fluxes. SIAM J. Numer. Anal. 42 4 (2004) 1394-1414
7. Repin S., and Sauter S. Functional a posteriori estimates for the reaction-diffusion problem. C. R. Math. Acad. Sci. Paris 343 5 (2006) 349-354
8. M. Vohralík, Residual flux-based a posteriori error estimates for finite volume discretizations of inhomogeneous, anisotropic, and convection-dominated problems, (2006), submitted for publication
9. Vohralík M. A posteriori error estimates for lowest-order mixed finite element discretizations of convection-diffusion-reaction equations. SIAM J. Numer. Anal. 45 4 (2007) 1570-1599
10. M. Vohralík, Guaranteed and fully robust a posteriori error estimates for conforming discretizations of diffusion problems with discontinuous coefficients, (2008), submitted for publication