| Autor: |
PAREDES, DIEGO, VALENTIN, FRÉDÉRIC, VERSIEUX, HENRIQUE M. |
| Předmět: |
|
| Zdroj: |
Mathematics of Computation; Mar2017, Vol. 86 Issue 304, p525-548, 24p |
| Abstrakt: |
In this work we prove uniform convergence of the Multiscale Hybrid-Mixed (MHM for short) finite element method for second-order elliptic problems with rough periodic coefficients. The MHM method is shown to avoid resonance errors without adopting oversampling techniques. In particular, we establish that the discretization error for the primal variable in the broken H¹ and L² norms are O(h + εδ) and O(h² + h εδ), respectively, and for the dual variable it is O(h + εδ) in the H(div; ·) norm, where 0 < δ ≤ 1/2 (depending on regularity). Such results rely on sharpened asymptotic expansion error estimates for the elliptic models with prescribed Dirichlet, Neumann or mixed boundary conditions. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
