Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media. (English) Zbl 0948.65096
The authors consider a nonlinear (possibly degenerate) parabolic partial differential equation which models the flow of water into a variably saturated porous medium. They carry out a carefull analysis of some expanded mixed finite element methods used to solve it.
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 35K55 | Nonlinear parabolic equations |
| 35K65 | Degenerate parabolic equations |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 76S05 | Flows in porous media; filtration; seepage |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 65M15 | Error bounds for initial value and initial-boundary value problems involving PDEs |
