Mixed finite element method for generalized Forchheimer in heterogeneous porous media
Abstract
We analyzed a mixed finite element discretization of the generalized Darcy-Forchheimer model in a two- or three-dimensional porous domain. We established the existence, uniqueness, and stability of the solutions. Error estimates are presented based on the monotonicity possessed by the Forchheimer term. Numerical investigations were performed to confirm the theoretical accuracy of the discretization.
Keywords: Porous media, immersible flow, generalized Forchheimer equations, existence, error estimates, slightly compressible fluid, numerical analysis
How to Cite:
Yadav, A., Park, T., Selvaganesan, T., Kieu, T. & Ye, R., (2026) “Mixed finite element method for generalized Forchheimer in heterogeneous porous media”, North Carolina Journal of Mathematics and Statistics 12(1). doi: https://doi.org//ncjms.3148
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