Journal of Computational Physics
A finite volume method for the approximation of diffusion operators on distorted meshes
Journal of Computational Physics
Journal of Scientific Computing
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes
Journal of Computational Physics
Journal of Computational Physics
Enriched multi-point flux approximation for general grids
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Short Note: Extension of Kershaw diffusion scheme to hexahedral meshes
Journal of Computational Physics
Journal of Computational Physics
Monotone finite volume schemes for diffusion equations on polygonal meshes
Journal of Computational Physics
A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
SIAM Journal on Scientific Computing
Journal of Computational Physics
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes
Journal of Computational Physics
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
Journal of Computational Physics
A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations
SIAM Journal on Scientific Computing
Journal of Computational Physics
An improved monotone finite volume scheme for diffusion equation on polygonal meshes
Journal of Computational Physics
Hi-index | 31.47 |
A finite volume method is presented for discretizing 3D diffusion operators with variable full tensor coefficients. This method handles anisotropic, non-symmetric or discontinuous variable tensor coefficients while distorted, non-matching or non-convex n-faced polyhedron meshes can be used. For meshes of polyhedra whose faces have not more than four edges, the associated matrix is positive definite (and symmetric if the diffusion tensor is symmetric). A second-order (resp. first-order) accuracy is numerically observed for the solution (resp. gradient of the solution).