The stochastic counterpart of conservation laws with heterogeneous conductivity fields: Application to deterministic problems and uncertainty quantification

Conservation laws in the form of elliptic and parabolic partial differential equations (PDEs) are fundamental to the modeling of many problems such as heat transfer and flow in porous media. Many of such PDEs are stochastic due to the presence of uncertainty in the conductivity field. Based on the r...

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Bibliographic Details
Main Authors: Amir H. Delgoshaie, Peter W. Glynn, Patrick Jenny, Hamdi A. Tchelepi
Format: Article
Language:English
Published: Elsevier 2019-03-01
Series:Journal of Computational Physics: X
Online Access:http://www.sciencedirect.com/science/article/pii/S2590055219300046