Abstract
This paper introduces an framework for adaptivity for a class of heterogeneous multiscale finite element methods for elliptic problems, which is suitable for a posteriori error estimation with separated quantification of the model error as well as the macroscopic and microscopic discretization errors. The method is derived within a general framework for 'goal-oriented' adaptivity, the so-called Dual Weighted Residual (DWR) method. This allows for a systematic a posteriori balancing of multiscale modeling and discretization. The developed method is tested numerically at elliptic diffusion problems for different types of heterogeneous oscillatory coefficients.
Original language | English (US) |
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Pages (from-to) | 167-187 |
Number of pages | 21 |
Journal | Journal of Numerical Mathematics |
Volume | 24 |
Issue number | 3 |
DOIs | |
State | Published - Oct 1 2016 |
Bibliographical note
Publisher Copyright:© 2016 Walter de Gruyter GmbH, Berlin/Boston.
Keywords
- DWR method
- Heterogeneous multiscale method
- finite element method
- goal-oriented adaptivity
- mesh adaptation
- model adaptation