期刊
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION
卷 3, 期 1, 页码 39-46出版社
BEGELL HOUSE INC
DOI: 10.1615/Int.J.UncertaintyQuantification.2012003671
关键词
uncertainty quantification; stochastic elliptical partial differential equations; moment differential equation; composite media
资金
- DOE Office of Science Advanced Scientific Computing Research (ASCR) program in Applied Mathematical Sciences
- BARD, the United States-Israel Binational Agricultural Research and Development Fund [IS-4090-08R]
Green's functions lie at the foundation of many uncertainty quantification and uncertainty reduction techniques (e.g., the moment differential equation approach, parameter and/or source identification, and data assimilation). We discuss an accurate and numerically efficient approach to compute Green's functions for transport processes in heterogeneous composite media. We focus on elliptic partial differential equations with (random) discontinuous coefficients. The approach relies on a regularization technique to obtain an associated regular problem, which can be solved using standard finite element methods. We perform numerical experiments to assess the performance of the regularization approach and to evaluate the effects of strong coefficient discontinuities on the Green's function behavior.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据