In our talk, we propose an adaptive mesh-refining strategy for the cell-centered FVM based on some a posteriori error control for the quantity ‖∇T (u − Iuh)‖L2 . Here, uh ∈ P (T ) denotes the FVM approximation of u and I is a certain interpolation operator. As model example serves the Laplace equation with mixed boundary conditions, where our contributions extend a result of [NIC05]. Moreover, ...

In this paper, the influence of aggregate size and volume fraction on shrinkage induced micro-cracking and permeability of concrete and mortar was investigated. Nonlinear finite element analyses of model concrete and mortar specimens with regular and random aggregate arrangements were performed. The aggregate diameter was varied between 2 and 16 mm. Furthermore, a range of volume fractions betw...

To cite this version: Lasry, Jérémie and Renard, Yves and Salaün, Michel Stress intensity factors computation for bending plates with extended finite element method. (2012) International Journal for Numerical Methods in Engineering, vol. 91 (n° 9). pp. 909-928. ISSN 0029-5981 Open Archive Toulouse Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse rese...

In this paper, the influence of aggregate size and volume fraction on shrinkage induced micro-cracking and permeability of concrete and mortar was investigated. Nonlinear finite element analyses of model concrete and mortar specimens were performed. The aggregate diameter was varied between 2 and 16 mm. Furthermore, a range of volume fractions between 0.1 and 0.5 was studied. The nonlinear anal...

The boundary layer flow of Cu-water based nanofluid with heat transfer over a stretching sheet is numerically studied. Second order velocity slip flow model is considered instead of no-slip at the boundary. The governing partial differential equations are transformed into ordinary one using similarity transformation, before being solved numerically. Numerical solutions of these equations are ob...

9 In this paper, the influence of aggregate size and volume fraction on shrinkage induced micro-cracking and 10 permeability of concrete and mortar was investigated. Nonlinear finite element analyses of model concrete 11 and mortar specimens with regular and random aggregate arrangements were performed. The aggregate 12 diameter was varied between 2 and 16 mm. Furthermore, a range of volume fra...

We analyze the spatially semidiscrete piecewise linear finite volume element method for parabolic equations in a convex polygonal domain in the plane. Our approach is based on the properties of the standard finite element Ritz projection and also of the elliptic projection defined by the bilinear form associated with the variational formulation of the finite volume element method. Because the d...

This paper presents a comparative study on locally mass-conservative numerical methods for Darcy’s flows. The classical mixed finite element method (MFEM) is compared with the newly developed discontinuous finite volume method (DFVM) with and without weak over-penalization (WOP). These numerical methods are tested on three representative problems in porous media flows. In particular, locality, ...

An object-oriented finite element/finite volume software, EasyFEM, has been developed. The software, with a fully interactive graphics interface, analyses heat transfer, solid mechanics, and fluids problems by the finite element and the finite volume methods. The Coad and Yourdon methodology is used to describe the general structure of classes and objects implemented by the software. Details of...

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