Multiscale stabilization for convection–diffusion equations with heterogeneous velocity and diffusion coefficients
Publication in refereed journal

香港中文大學研究人員
替代計量分析
.

其它資訊
摘要We present a new stabilization technique for multiscale convection–diffusion problems. Stabilization for these problems has been a challenging task, especially for the case with high Péclet numbers. Our method is based on a constraint energy minimization idea and the discontinuous Petrov–Galerkin formulation. In particular, the test functions are constructed by minimizing an appropriate energy subject to certain orthogonality conditions, and are related to the trial space. The resulting test functions have a localization property, and can therefore be computed locally. We will prove the stability, and present several numerical results. Our numerical results confirm that our test space gives a good stability, in the sense that the solution error is close to the best approximation error.
著者Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
期刊名稱Computers and Mathematics with Applications
出版年份2020
月份4
卷號79
期次8
出版社Elsevier
頁次2336 - 2349
國際標準期刊號0898-1221
語言美式英語

上次更新時間 2020-14-09 於 00:14