Finite element methods for nonlinear flows in porous media
type: Item
instance of: scholarly article
title: Finite element methods for nonlinear flows in porous media
zbMATH Open document ID: 0542.76117
DOI: 10.1016/0045-7825(85)90041-6
author: R. Ewing
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: A model problem is presented for fluid flow in porous media which has numerical difficulties common with many other areas of nonlinear mechanics. Special finite element techniques are described which have proved useful in alleviating many of these difficulties. A modified method of characteristics, mixed finite element methods for fluid velocities, singularity removal, and self-adaptive local grid refinement techniques are presented. Both theoretical and computational results are described, together with an indication of the present and future uses of finite element methods in large-scale reservoir simulation.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3862800
zbMATH Keywords: model problem
zbMATH Keywords: nonlinear
zbMATH Keywords: Special finite element techniques
zbMATH Keywords: modified method of characteristics
zbMATH Keywords: mixed finite element methods
zbMATH Keywords: fluid velocities
zbMATH Keywords: singularity removal
zbMATH Keywords: self-adaptive local grid refinement
zbMATH Keywords: large-scale reservoir simulation
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90041-6
OpenAlex ID: W1975212275
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description: scientific article; zbMATH DE number 3862800