In this paper, we present an overview of the progress of the finite volume element (FVE)
methods. We show that the linear FVE methods are quite mature due to their close …

On the complexity of braids Page 1 J. Eur. Math. Soc. 9, 801–840 c European Mathematical
Society 2007 Ivan Dynnikov · Bert Wiest On the complexity of braids Received June 20, 2005 …

We derive in this paper a posteriori error estimates for discretizations of convection–diffusion–
reaction equations in two or three space dimensions. Our estimates are valid for any cell …

We consider a finite volume discretization of second‐order non‐linear elliptic boundary
value problems on polygonal domains. Using relatively standard assumptions we show the …

In this article, residual‐type a posteriori error estimates are studied for finite volume element
(FVE) method of parabolic equations. Residual‐type a posteriori error estimator is …

The accuracy of the diamond scheme is experimentally investigated for anisotropic diffusion
problems in two space dimensions. This finite volume formulation is cell-centered on …

In this article, we study the residual-based a posteriori error estimates of the two-grid finite
element methods for the second order nonlinear elliptic boundary value problems …

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 …

In this paper, we study the a posteriori error estimates of two-grid finite volume element
method for second-order nonlinear elliptic equations. We derive the residual-based a …

In this paper, we analyze a residual-type a posteriori error estimator of the finite volume
element method for a quasi-linear elliptic problem of nonmonotone type and derive …