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Adaptive generalized multiscale approximation of a mixed finite element method with velocity elimination
[article]
2020
arXiv
pre-print
In this paper, we propose offline and online adaptive enrichment algorithms for the generalized multiscale approximation of a mixed finite element method with velocity elimination to solve the subsurface flow problem in high-contrast and heterogeneous porous media. We give the theoretical analysis for the convergence of these two adaptive methods, which shows that sufficient initial basis functions (belong to the offline space) leads to a faster convergence rate. A series of numerical examples
arXiv:2007.08934v1
fatcat:kfilpurzyvfszn53c4yntmob3u