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Domain decomposition methods applied to sedimentary basin modeling. (English) Zbl 1042.65543

Summary: A study of several domain decomposition methods is realized within the context of sedimentary basin modeling. We consider a simplified model for a single-phase flow in a sedimentary basin given by a nonlinear parabolic equation with strongly discontinuous coefficients. Conjugate gradient and interface relaxation methods are first compared on a linearized equation and then generalized to the nonlinear model.

MSC:

65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
76M12 Finite volume methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
86-08 Computational methods for problems pertaining to geophysics
86A05 Hydrology, hydrography, oceanography
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