An efficient domain decomposition finite element method for the parallel solution of porous media problems

Abstract eng:
Evaluation of the behavior of structures composed of single phase material is quite straightforward, especially for the case of static loading. For the evaluation of a porous medium behavior under dynamic loading, the usage of such calculations results in non-realistic behavior. Accurate modeling requires that porous media are to be considered as multiphase materials as they are composed of a solid phase filled with air and water. Efficient numerical solution for coupled problems is still an open issue. The most reliable yet expensive approach is the monolithic approach where all field equations are solved simultaneously. A family of state-of-the-art parallel domain decomposition methods that combine the advantages of both direct and iterative solvers for the monolithic solution of the u-p formulation of the porous media problem will be presented along with numerical examples that demonstrate their parallel performance.

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