Stress analysis of functionally graded composite plates composed of ceramic, functionally graded material and metal layers is investigated using 3-D finite element method. In FGM layer, material properties are assumed to be varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of a ceramic and metal. The 3-D finite element mo...

In this paper we study nite volume element approximations for two dimensional parabolic integro di erential equations arising in modeling of nonlocal reactive ows in porous media These types of ows are also called NonFickian ows and exhibit mixing length growth For simplicity we only consider linear nite vol ume element methods although higher order volume elements can be considered as well und...

Abstract. A novel numerical technique for the solution of the compressible flow equations over unstructured grids in a cylindrical reference is presented. The proposed approach is based on a mixed finite volume / finite element method. Equivalence conditions relating the finite volume and the finite element metrics in cylindrical coordinates are derived. Numerical simulations of the explosion a...

Stability of a second-order finite element/finite volume hybrid scheme is investigated on the basis of flows with increasing Weissenberg number. Finite elements are used to discretise the balances of mass and momentum. For the stress equation a finite volume method is used, based on the recent development with fluctuation distribution schemes for pure convection problems. Examples considered in...

We discuss a priori error estimates for a semidiscrete piecewise linear finite volume element (FVE) approximation to a second order wave equation in a two-dimensional convex polygonal domain. Since the domain is convex polygonal, a special attention has been paid to the limited regularity of the exact solution. Optimal error estimates in L2, H1 norms and quasioptimal estimates in L∞ norm are di...

The excellent temporal resolution of magnetoencephalography (MEG) is universally acknowledged, but the accuracy of its source estimation is often questioned on theoretical and practical grounds. Here, we evaluate the localization accuracy of MEG for four widely used source modeling techniques (Equivalent Current Dipole (ECD), Synthetic Aperture Magnetometry (SAM), MUltiple SIgnal Classification...

The error estimates for nite volume element method applied to and D non de nite problems are derived A simple upwind scheme is proven to be unconditionally stable and rst order accurate Mathematics Subject Classi cation N Introduction The purpose of this note is three fold We would like to extend the results due to Bank and Rose Hackbusch Cai and McCormick and Jianguo and Shitong to D problems ...

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In this paper, we consider the issue of convergence toward entropy solutions for high order finite volume weighted essentially non-oscillatory (WENO) scheme and discontinuous Galerkin (DG) finite element method approximating scalar nonconvex conservation laws. Although such high order nonlinearly stable schemes can usually converge to entropy solutions of convex conservation laws, convergence m...