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| The Rain on Underground Porous Media Part I: Analysis of a Richards Model |
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Citation： |
Christine BERNARDI,Adel BLOUZAI,Linda EL ALAOU.The Rain on Underground Porous Media Part I: Analysis of a Richards Model[J].Chinese Annals of Mathematics B,2013,34(2):193~212 |
| Page view： 3162
Net amount： 2241 |
Authors： |
Christine BERNARDI; Adel BLOUZAI; Linda EL ALAOU; |
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| Abstract： |
The Richards equation models the water flow in a partially saturated underground porous medium under the surface. When it rains on the surface, boundary conditions of Signorini type must be considered on this part of the boundary. The authors first study this problem which results into a variational inequality and then propose a discretization by an implicit Euler's scheme in time and finite elements in space. The convergence of this discretization leads to the well-posedness of the problem. |
Keywords： |
Richards equation, Porous media, Euler's implicit scheme, Finite element discretization, Parabolic variational inequality |
Classification： |
76S05, 76M10, 65M12 |
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