RT Journal Article ID 23ef1c3b77631c4f A1 Barajas-Solano, David A. A1 Tartakovsky, Daniel M. T1 COMPUTING GREEN'S FUNCTIONS FOR FLOW IN HETEROGENEOUS COMPOSITE MEDIA JF International Journal for Uncertainty Quantification JO IJUQ YR 2013 FD 2012-09-05 VO 3 IS 1 SP 39 OP 46 K1 uncertainty quantification K1 stochastic elliptical partial differential equations K1 moment differential equation K1 composite media AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/52034eb04b657aea,645a65d93cf86050,23ef1c3b77631c4f.html