A preliminary study on multiscale ELLAM schemes for transient advection‐diffusion equations |
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| Authors: | Aijie Cheng Kaixin Wang Hong Wang |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan, Shandong 250100, China;2. Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208 |
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| Abstract: | We study multiscale Eulerian–Lagrangian localized adjoint methods (MsELLAMs) for transient linear advection‐diffusion equations with oscillatory coefficients, which arise in mathematical models for describing flow and transport through heterogeneous porous media, composite material design, and other applications. Several MsELLAM schemes are presented and studied. Numerical experiments are presented to observe the numerical performance of these MsELLAM schemes. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
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| Keywords: | advection‐diffusion equation with oscillatory coefficients Eulerian– Lagrangian method multiple spatial and temporal scales multiscale method |
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