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Multi‐Scale Finite‐Volume Method for Elliptic Problems with Heterogeneous Coefficients and Source Terms
Author(s) -
Jenny Patrick,
Lunati Ivan
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610223
Subject(s) - finite volume method , elliptic flow , scale (ratio) , range (aeronautics) , flow (mathematics) , surface (topology) , computer science , distribution (mathematics) , mathematics , volume (thermodynamics) , mathematical optimization , mechanics , geometry , mathematical analysis , physics , thermodynamics , aerospace engineering , engineering , ion , quantum mechanics , heavy ion
Simulation of sub‐surface flow in geologically complex formations is just one example in computational science, where efficient and accurate solutions of heterogeneous elliptic problems are of great interest. Often it is not feasible to resolve the whole range of relevant length scales associated with the spatial distribution of the highly varying coefficients. The MSFV method was originally developed for multi‐phase flow in porous media. In the more general form presented here, it can be applied for solving large elliptic problems in various areas of computational science. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)