A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation. (English) Zbl 1290.65101
Summary: This paper is concerned with a residual type a posteriori error estimators for a finite volume method for the second order elliptic equation. Bilinear functions are used as trial functions in this finite volume method. Reliability and efficiency bounds for the error estimator are established. Numerical examples are provided to confirm the theory.
MSC:
| 65N08 | Finite volume methods for boundary value problems involving PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
Keywords:
finite volume methods; bilinear finite elements; posteriori error estimate; elliptic problemsReferences:
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