Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

This paper presents the natural framework to residual based a posteriori error estimation of
some cell-centered finite volume methods for the Laplace equation in \R^d,d=2 or 3. For that …

This paper presents an a posteriori residual error estimator for diffusion-convection-reaction
problems approximated by some cell centered finite volume methods on isotropic or aniso …

This paper presents two types of a posterior error estimations for discontinuous finite volume
methods to elliptic interface problems. One is the residual-based estimator and other one is …

We present new a posteriori error estimates for the finite volume approximations of elliptic
problems. They are obtained by applying functional a posteriori error estimates to natural …

We establish a posteriori error analysis for finite volume methods of a second‐order elliptic
problem based on the framework developed by Chou and Ye [SIAM Numer Anal, 45 (2007) …

Partial differential equations (PDE's) were discovered as mathematical models of various
physical phenomena. Over the 20th century, mathematical models based on PDE's have …

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 …

In this work, the residual‐type posteriori error estimates of stabilized finite volume method
are studied for the steady Stokes problem based on two local Gauss integrations. By using …

We present an a posteriori residual error estimator for the Laplace equation using a cell-
centered finite volume method in the plane. For that purpose we associate to the …