A super-convergent unsymmetric finite volume method for convection-diffusion equations. (English) Zbl 1415.65243
Summary: The design of the dual mesh of a conventional fitted finite volume method is revisited with the aim to obtain better convergence rates. A new choice of dual mesh points is proposed and it is proved that at these points the approximate flux density and the solution have a second-order accuracy. The results of numerical experiments substantiate the theoretical findings.
MSC:
| 65N08 | Finite volume methods for boundary value problems involving PDEs |
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
References:
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