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arXiv 2003.096332020-03-21math.NAcs.NA

Parameter robust preconditioning for multi-compartmental Darcy equations

Eleonora Piersanti, Marie E. Rognes, Kent-Andre Mardal

英文摘要：

In this paper, we propose a new finite element solution approach to the multi-compartmental Darcy equations describing flow and interactions in a porous medium with multiple fluid compartments. We introduce a new numerical formulation and a block-diagonal preconditioner. The robustness with respect to variations in material parameters is demonstrated by theoretical considerations and numerical examples.

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