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A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0002-6432-5504
2016 (English)In: Discrete and Continuous Dynamical Systems. Series S, ISSN 1937-1632, E-ISSN 1937-1179, Vol. 9, no 5, 1393-1420 p.Article in journal (Refereed) Published
Abstract [en]

In this contribution we address a-posteriori error estimation in L-infinity(L-2) for a heterogeneous multiscale finite element approximation of time dependent advection-diffusion problems with rapidly oscillating coefficient functions and with a large expected drift. Based on the error estimate, we derive an algorithm for an adaptive mesh refinement. The estimate and the algorithm are validated in numerical experiments, showing applicability and good results even for heterogeneous microstructures.

Place, publisher, year, edition, pages
American Institute of Mathematical Sciences, 2016. Vol. 9, no 5, 1393-1420 p.
Keyword [en]
Advection-diffusion, HMM, multiscale method, error estimation
National Category
URN: urn:nbn:se:kth:diva-197784DOI: 10.3934/dcdss.2016056ISI: 000387662300007OAI: diva2:1060134

QC 20161227

Available from: 2016-12-27 Created: 2016-12-08 Last updated: 2017-01-18Bibliographically approved

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Henning, Patrick
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Numerical Analysis, NA
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