Efficient Time-Stepping Methods for Miscible Displacement Problems with Nonlinear Boundary Conditions.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Efficient procedures for time-stepping Galerkin methods are considered for approximating the solution of a coupled nonlinear system with nonlinear Neumann boundary conditions. Possible model systems are shown for describing the miscible displacement of one incompressible fluid by another in a porous medium when flow conditions are prescribed on the boundary. The procedures involve the use of a preconditioned iterative method for approximately solving the different linear systems of equations arising at each time step in a discrete-time Galerkin method.
- Numerical Mathematics