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The miscible displacement problem in porous media is modeled by a nonlinear coupled system of two partial diierential equations: the pressure-velocity equation and the concentration equation. An iterative perturbation procedure is proposed and analyzed for the pressure-velocity equation, which is capable of producing as accurate velocity approximation as(More)
Stabilized iterative schemes for mixed nite element methods are proposed and analyzed in two abstract formulations. The rst one has applications to elliptic equations and incompressible uid ow problems, while the second has applications to linear elasticity and compressible Stokes problems. Convergence theorems are demonstrated in abstract formulations;(More)
We present a parallel nonoverlapping Schwarz domain decomposition method with interface relaxation for linear elliptic problems, possibly with discontinuities in the solution and its derivatives. This domain decomposition method can be characterized as: the transmission conditions at the interface of subdomains are taken to be Dirichlet at odd iterations(More)
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