Abstract | ||
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In this article we consider a model of a filtration process. The process is modeled using the nonlinear Darcy fluid flow equations with a varying permeability, coupled with a deposition equation. Existence and uniqueness of the solution to the modeling equations is established. A numerical approximation scheme is proposed and analyzed, with an a priori error estimate derived. Numerical experiments are presented which support the obtained theoretical results. |
Year | DOI | Venue |
---|---|---|
2017 | 10.1016/j.cam.2016.06.025 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
65N30 | Permeability (earth sciences),Uniqueness,Darcy's law,Mathematical optimization,Nonlinear system,Mathematical analysis,A priori and a posteriori,Filtration,Fluid dynamics,Darcy–Weisbach equation,Mathematics | Journal |
Volume | Issue | ISSN |
309 | C | 0377-0427 |
Citations | PageRank | References |
1 | 0.38 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vincent J. Ervin | 1 | 118 | 15.66 |
Hyesuk Lee | 2 | 40 | 8.26 |
J. Ruiz-Ramírez | 3 | 1 | 0.38 |