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unige:80936 
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Asymptotic Preserving numerical schemes for multiscale parabolic problems |
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| Published in | Comptes rendus mathématique. 2016, vol. 354, no. 3, p. 271-276 | |
| Abstract | We consider a class of multiscale parabolic problems with diffusion coefficients oscillating in space at a possibly small scale ε . Numerical homogenization methods are popular for such problems, because they capture efficiently the asymptotic behavior as ε→0ε→0, without using a dramatically fine spatial discretization at the scale of the fast oscillations. However, it is known that such homogenization schemes are in general not accurate for both the highly oscillatory regime ε→0ε→0 and the non-oscillatory regime ε∼1ε∼1. In this paper, we introduce an Asymptotic Preserving method based on an exact micro–macro decomposition of the solution, which remains consistent for both regimes. | |
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Article (Author postprint) (399 Kb) - Free access Other version: http://linkinghub.elsevier.com/retrieve/pii/S1631073X15003532 |
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| Citation (ISO format) | CROUSEILLES, Nicolas, LEMOU, Mohammed, VILMART, Gilles. Asymptotic Preserving numerical schemes for multiscale parabolic problems. In: Comptes rendus mathématique, 2016, vol. 354, n° 3, p. 271-276. https://archive-ouverte.unige.ch/unige:80936 |
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