Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits
Yanzhao Cao,
Max Gunzburger,
Fei Hua,
Xiaoming Wang,
Yanzhao Cao
Department of Mathematics and Statistics, Auburn University, Auburn, Alabama 36830
Search for more papers by this authorMax Gunzburger
Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306
Search for more papers by this authorCorresponding Author
Fei Hua
Department of Mathematics, Florida State University, Tallahassee, Florida 32306
Department of Mathematics, Florida State University, Tallahassee, Florida 32306Search for more papers by this authorXiaoming Wang
Department of Mathematics, Florida State University, Tallahassee, Florida 32306
Search for more papers by this authorYanzhao Cao,
Max Gunzburger,
Fei Hua,
Xiaoming Wang,
Yanzhao Cao
Department of Mathematics and Statistics, Auburn University, Auburn, Alabama 36830
Search for more papers by this authorMax Gunzburger
Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306
Search for more papers by this authorCorresponding Author
Fei Hua
Department of Mathematics, Florida State University, Tallahassee, Florida 32306
Department of Mathematics, Florida State University, Tallahassee, Florida 32306Search for more papers by this authorXiaoming Wang
Department of Mathematics, Florida State University, Tallahassee, Florida 32306
Search for more papers by this authorAbstract
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. Numer Methods Partial Differential Eq 27: 1242–1252, 2011
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