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Dynamic subgrid modeling for scalar convection-diffusion-reaction equations with fractal coefficients
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0003-4256-0463
2001 (English)In: Lecture notes in computational science and engineeringArticle in journal (Refereed) Published
Abstract [en]

In this paper we propose and study a subgrid model for linear convection-diffusion-reaction problems with fractal rough coefficients. The subgrid model is based on extrapolation model of a modeling residual from coarser scales using a computed solution without subgrid model on a finest scale as reference. We present a priori and a posteriori error estimates, and we show in experiments that a solution with subgrid model on a scale h corresponds to a solution without subgrid model on a scale less than h/4

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Computer and Information Science
URN: urn:nbn:se:kth:diva-58718OAI: diva2:473838
NR 20140805Available from: 2012-01-07 Created: 2012-01-07Bibliographically approved

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Hoffman, Johan
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Numerical Analysis, NA
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