Approximation of multi-scale elliptic problems using patches of finite elements

Comptes Rendus Mathematique

Volumn 337, Issue 10, 2003, Pages 679-684

  Glowinski, Roland ^a   He, Jiwen ^a   Rappaz, Jacques ^b   Wagner, Joël ^b  

^a UNIVERSITY OF HOUSTON   (United States)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346273552     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.09.029     Document Type: Article

References (7)

1. Y. Achdou, Y. Maday, The mortar element method with overlapping subdomains, SIAM J. Numer. Anal. 40 (2) (2002) 601-628.
2. R.E. Bank, R.K. Smith, A posteriori error estimates based on hierarchical bases, SIAM J. Numer. Anal. 30 (4) (1993) 921-935.
3. J.H. Bramble, J.E. Pasciak, J. Wang, J. Xu, Convergence estimates for product iterative methods with applications to domain decomposition, Math. Comp. 57 (195) (1991) 1-21.
4. R. Glowinski, J. He, J. Rappaz, J. Wagner, Finite element approximation of multi-scale elliptic problems using patches of elements, in preparation.
5. F. Hecht, O. Pironneau, K. Ohtsuka, Freefem++, ver. 1.28, http://www.freefem.org.
6. M. Jung, J.-F. Maitre, Some remarks on the constant in the strengthened CBS inequality: estimate for hierarchical finite element discretizations of elasticity problems, Numer. Methods Partial Differential Equations 15 (4) (1999) 469-487.
7. S.F. McCormick, J. Thomas, The fast adaptive composite-grid (FAC) method for elliptic equations, Math. Comp. 46 (174) (1986) 439-456.