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Analysis on general meshes of a discrete duality finite volume method for subsurface flow problems
2013
Computational Geosciences
This work presents and analyzes, on unstructured grids, a discrete duality finite volume method (DDFV method for short) for 2D-flow problems in nonhomogeneous anisotropic porous media. The derivation of a symmetric discrete problem is established. The existence and uniqueness of a solution to this discrete problem are shown via the positive definiteness of its associated matrix. Properties of this matrix combined with adequate assumptions on data allow to define a discrete energy norm.
doi:10.1007/s10596-012-9339-6
fatcat:2ynlj46o3jfdznyrcc7jg4frcu