A Preliminary Study on Multiscale ELLAM Schemes for Transient Advection-Diffusion Equations

作者：Cheng Aijie; Wang Kaixin^*; Wang Hong

来源：Numerical Methods for Partial Differential Equations, 2010, 26(6): 1405-1419.

DOI：10.1002/num.20496

• advection-diffusion equation with oscillatory coefficients
• Eulerian-Lagrangian method
• multiple spatial and temporal scales
• multiscale method

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.

• 出版日期2010-11
• 单位山东大学