Combined Nonconforming/Mixed-Hybrid Finite Element ? Finite Volume Schemes for Contaminant Transport Simulation in Porous and Fractured Media

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F03%3A00000110" target="_blank" >RIV/46747885:24220/03:00000110 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Combined Nonconforming/Mixed-Hybrid Finite Element ? Finite Volume Schemes for Contaminant Transport Simulation in Porous and Fractured Media
Original language description
We propose and analyze an efficient numerical scheme for nonlinear degenerate parabolic convection?reaction?diffusion equations. We discretize the diffusion term, which generally involves a full matrix diffusion tensor, by means of piecewise linear nonconforming finite elements over a triangulation of the space domain, or using the stiffness matrix of the mixed-hybrid finite element method. The other terms are discretized by means of a finite volume scheme on a dual mesh, where the dual volumes are constructed around the sides of the original triangulation. Checking the local Péclet number, we set up the exact necessary amount of upstream weighting to avoid spurious oscillations in the velocity dominated case. Under the regularity condition for the original triangulation, using a priori estimates and the Kolmogorov relative compactness theorem, the convergence of the scheme is proved. The numerical results confirm the efficiency and robustness of the scheme.
Czech name
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Czech description
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Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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