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- W2949089229 abstract "Abstract In this paper, we propose and analyze a 4-point finite volume method for a fracture model coupling one-dimensional equations in the fracture with two-dimensional equations in surrounding domains. The pressure is approximated in the piecewise constant spaces, whereas the velocity is calculated by the lowest order Raviart-Thomas elements and piecewise constants in matrix and fracture, respectively. Optimal order error estimates are proved on nonuniform triangular meshes for both the pressure and velocity. Beside, we extend the 4-point finite volume method to nonmatching grids between the fracture and matrix without loss of any accuracy. Numerical experiments on matching and nonmatching meshes are tested for models with higher, lower and anisotropic fracture permeability, and results confirm our theoretical analysis." @default.
- W2949089229 created "2019-06-27" @default.
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- W2949089229 creator A5080262783 @default.
- W2949089229 date "2019-11-01" @default.
- W2949089229 modified "2023-09-24" @default.
- W2949089229 title "A finite volume method for a coupled fracture model with matching and nonmatching grids" @default.
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- W2949089229 doi "https://doi.org/10.1016/j.apnum.2019.05.017" @default.
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