Sandra M. C. Malta

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Finite element methods are used to solve a nonlinear system of partial diierential equations which models incompressible miscible displacement of one uid by another in porous media. From a backward nite diierence discretization we deene a sequentially implicit time-stepping algorithm which uncouples the system. The Galerkin method is employed to approximate(More)
In the past few years we have been involved in the development and implementation of parallel finite element and pseudo-spectral methods for porous media flow. In this paper we present a brief review of our methods and show several examples of highly nonlinear simulations in two and three-dimensions, on different current high performance computers. New(More)
To solve a system of partial diierential equations that models tracer injection processes in oil reservoirs we use a post-processing technique to compute an accurate approximation for the velocity eld and a stabilized nite element method (SUPG) for the spatial approximation of the tracer concentration combined with a backward nite diierence discretization(More)
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