The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains
Henning P, Ohlberger M
Research article (journal) | Peer reviewedAbstract
In this contribution we analyze a generalization of the heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. The method was originally introduced by E and Engquist (Commun Math Sci 1(1):87–132, 2003) for homogenization problems in fixed domains. It is based on a standard finite element approach on the macroscale, where the stiffness matrix is computed by solving local cell problems on the microscale. A-posteriori error estimates are derived in L²(Ω) by reformulating the problem into a discrete two-scale formulation and using duality methods afterwards. Numerical experiments are given in order to numerically evaluate the efficiency of the error estimate.
Details about the publication
Volume: 113
Page range: 601-629
Status: Published
Release year: 2009
Language in which the publication is written: English
Authors from the University of Münster
| Henning, Patrick | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) |
| Ohlberger, Mario | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) Center for Nonlinear Science |
Projects the publication originates from
Duration: 01/07/2007 - 31/10/2010 Funded by: Federal Ministry of Research, Technology and Space Type of project: Participation in federally funded joint project |