[PDF][PDF] Finite volume element methods: an overview on recent developments

Y Lin, J Liu, M Yang - Int. J. Numer. Anal. Model. Ser. B, 2013 - global-sci.com
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

I Dynnikov, B Wiest - Journal of the European Mathematical Society, 2007 - ems.press
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 …

Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

M Vohralík - Numerische Mathematik, 2008 - Springer
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 …

A finite volume element method for a non‐linear elliptic problem

P Chatzipantelidis, V Ginting… - Numerical linear algebra …, 2005 - Wiley Online Library
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 …

A posteriori error estimate for finite volume element method of the parabolic equations

C Chen, X Zhao - Numerical Methods for Partial Differential …, 2017 - Wiley Online Library
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 …

On vertex reconstructions for cell-centered finite volume approximations of 2D anisotropic diffusion problems

E Bertolazzi, G Manzini - … Models and Methods in Applied Sciences, 2007 - World Scientific
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 …

A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems

C Bi, C Wang, Y Lin - Journal of Scientific Computing, 2018 - Springer
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 …

A posteriori error estimations of some cell-centered finite volume methods

S Nicaise - SIAM journal on numerical analysis, 2005 - SIAM
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 …

[HTML][HTML] A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems

C Chen, Y Chen, X Zhao - Computers & Mathematics with Applications, 2018 - Elsevier
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 …

A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem

C Bi, V Ginting - Numerische Mathematik, 2009 - Springer
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 …