Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits
Numerical Methods for Partial Differential Equations, ISSN: 0749-159X, Vol: 27, Issue: 5, Page: 1242-1252
2011
- 23Citations
- 35Usage
- 12Captures
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Metrics Details
- Citations23
- Citation Indexes23
- 23
- CrossRef19
- Usage35
- Downloads33
- Abstract Views2
- Captures12
- Readers12
- 12
Article Description
We consider the continuum Darcy/pipe flow model for flows in a porous matrix containing embedded conduits; such coupled flows are present in, e.g., karst aquifers. The mathematical well-posedness of the coupled problem as well as convergence rates of finite element approximation are established in the two-dimensional case. Computational results are also provided. © 2010 Wiley Periodicals, Inc.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=79960756361&origin=inward; http://dx.doi.org/10.1002/num.20579; https://onlinelibrary.wiley.com/doi/10.1002/num.20579; https://onlinelibrary.wiley.com/doi/full/10.1002/num.20579; https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fnum.20579; https://scholarsmine.mst.edu/math_stat_facwork/1223; https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=2276&context=math_stat_facwork; https://dx.doi.org/10.1002/num.20579
Wiley
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