图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
国际不确定性的量化期刊
影响因子: 3.259 5年影响因子: 2.547 SJR: 0.531 SNIP: 0.8 CiteScore™: 1.52

ISSN 打印: 2152-5080
ISSN 在线: 2152-5099

Open Access

国际不确定性的量化期刊

DOI: 10.1615/Int.J.UncertaintyQuantification.2012003671
pages 39-46

COMPUTING GREEN'S FUNCTIONS FOR FLOW IN HETEROGENEOUS COMPOSITE MEDIA

David A. Barajas-Solano
Department of Mechanical and Aerospace Engineering, University of California, San Diego, USA
Daniel M. Tartakovsky
Department of Energy Resources, Engineering Stanford University 367 Panama St., Stanford, CA 94305, USA

ABSTRACT

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.


Articles with similar content:

Multiscale Discontinuous Galerkin and Operator-Splitting Methods for Modeling Subsurface Flow and Transport
International Journal for Multiscale Computational Engineering, Vol.6, 2008, issue 1
Juergen Geiser, Shuyu Sun
A GRADIENT-BASED SAMPLING APPROACH FOR DIMENSION REDUCTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH STOCHASTIC COEFFICIENTS
International Journal for Uncertainty Quantification, Vol.5, 2015, issue 1
Miroslav Stoyanov, Clayton G. Webster
NEW NUMERICAL APPROACHES TO MULTIPHASE FLOWS MODELING
International Journal of Energetic Materials and Chemical Propulsion, Vol.6, 2007, issue 5
C. E. Castro, E. F. Toro
FORWARD AND INVERSE UNCERTAINTY QUANTIFICATION USING MULTILEVEL MONTE CARLO ALGORITHMS FOR AN ELLIPTIC NONLOCAL EQUATION
International Journal for Uncertainty Quantification, Vol.6, 2016, issue 6
Ajay Jasra, Yan Zhou, Kody J. H. Law
NONLINEAR HEAT TRANSFER BY THE ITERATIVE VARIATIONAL METHOD
International Heat Transfer Conference 6, Vol.3, 1978, issue
C. Y. Liu