Analysis of mixed finite element methods on locally refined grids.
The approximation of the pressure by a mixed method in the simulation of miscible displacement
A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
Continuous-time finite element analysis of multiphase flow in groundwater hydrology
A nonlinear differential system for describing an air-water system in groundwater hydrology is given. The system is written in a fractional flow formulation, i.e., in terms of a saturation and a global pressure. A continuous-time version of the finite element method is developed and analyzed for the approximation of the saturation and pressure. The saturation equation is treated by a Galerkin finite element method, while the pressure equation is treated by a mixed finite element method. The analysis...
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