A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation

• Autores: Tao Lin, Xiu Ye
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 254, Nº 1, 2013 (Ejemplar dedicado a: Nonlinear Elliptic Differential Equations, Bifurcation, Local Dynamics of Parabolic Systems and Numerical Methods), págs. 185-191
• Idioma: inglés
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• Resumen

  • 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.