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ISSN Печать: 2152-5080
ISSN Онлайн: 2152-5099
Indexed in
COMPUTING GREEN'S FUNCTIONS FOR FLOW IN HETEROGENEOUS COMPOSITE MEDIA
Краткое описание
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.
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Nan Tongchao, Wu Jichun, Guadagnini Alberto, Zeng Xiankui, Liang Xiuyu, Random walk evaluation of Green’s functions for groundwater flow in heterogeneous aquifers, Journal of Hydrology, 588, 2020. Crossref
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Reshniak Viktor, Melnikov Yuri, Method of Green’s Potentials for Elliptic PDEs in Domains with Random Apertures, Journal of Scientific Computing, 84, 3, 2020. Crossref
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Boodaghidizaji Miad, Khan Monsurul, Ardekani Arezoo M., Multi-fidelity modeling to predict the rheological properties of a suspension of fibers using neural networks and Gaussian processes, Physics of Fluids, 34, 5, 2022. Crossref