A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. (English) Zbl 1263.65102
The numerical solution of the steady-state convection-diffusion equation is analysed by using the discretisation of the diffusion term via the hybrid mimetic method regarded as the unified formulation the finite volume method, the mixed finite volume method and the mimetic finite difference method.
Reviewer: Liviu Marin (Bucharest)
MSC:
| 65N08 | Finite volume methods for boundary value problems involving PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 65N06 | Finite difference methods for boundary value problems involving PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
