Cell-centered finite volume methods are prevailing in numerical simulation of flow in porous media. However, due to the lack of cell-centered finite volume methods for mechanics, coupled flow and deformation is usually treated either by coupled finite-volume-finite element discretizations, or within a finite element setting. The former approach is unfavorable as it introduces two separate grid ...

Abstract. In this paper, the authors established a unified framework for deriving and analyzing a posteriori error estimators for finite volume methods for the Stokes equations. The a posteriori error estimators are residual-based, and are applicable to various finite volume methods for the Stokes equations. In particular, the unified theoretical analysis works well for finite volume schemes ar...

carbon nanotube (cnt) is considered as a new generation of material possessing superior mechanical, thermal and electrical properties. the applications of cnt, especially in composite materials, i.e. carbon nanotube reinforced polymer have received great attention and interest in recent years. to characterize the influence of cnt on the stress intensity factor of nanocomposites, three fracture ...

Three simple mesh examples are presented to show that neither Delaunay nor strictly non-obtuse mesh elements are required for a finite element computation. Mesh requirements based on a recent condition given in literature are investigated to guarantee certain properties of the resulting stiffness matrix. The experiments are conducted using a general finite element and finite volume solver.

Displacement finite element models of various beam theories have been developed using traditional finite element interpolations (i.e., Hermite cubic or equi-spaced Lagrange functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, total rotation φ and/or shear strain γxz, or in the integral form u...

the high costs of experimental works on the nanocomposites can be reduced through implementation of analytical and numerical studies. to study the effect of impact energy on the nanocomposites, a nanocomposite composedof polyurethane and clay nanoparticles is selected as a case study. the finite element modeling is carried out using the ansys software, and the impact analysis is performed using...

We study the relationship between finite volume and mixed finite element methods for the the hyperbolic conservation laws, and the closely related convection-diffusion equations.A general framework is proposed for the derivation and a functional framework is developed which could allow the analysis of relating finite volume (FV) schemes. We show via two nonstandard formulations, that numerous F...

In the case of study on the seismic behavior of tanks, one of the most important subjects is selection of convective and impulsive frequencies for storage tanks. These two frequencies are defined by Housner. The major utility of these frequencies is for Rayleigh damping which is a must for time history analysis. API 650, EUROCODE 8 have suggested some analytical solutions for finding convective...

In this paper we extend the idea of interpolated coefficients for semilinear problems to the finite volume element method based on rectangular partition. At first we introduce bilinear finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. Next we derive convergence estimate in H 1-norm and superconvergence of derivative. Finall...