Finite element analysis of sloshing and hydroelastic vibrations under gravity
Finite element analysis of sloshing and hydroelastic vibrations under gravity
This paper deals with a finite element method to solve fluid-structure interaction problems. More precisely it concerns the numerical computation of harmonic hydroelastic vibrations under gravity. It is based on a displacement formulation for both the fluid and the solid. Gravity effects are included on the free surface of the fluid as well as on the liquid-solid interface. The pressure of the fluid is used as a variable for the theoretical analysis leading to a well posed mixed linear eigenvalue...
Finite element analysis of the Signorini problem
Finite element analysis of the Signorini problem in semi-coercive cases
The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed.
Finite Element Approximation of Viscoelastic Progressively Incompressible Flows.
Finite element approximations of the von Kármán equations
Finite element computation of hyperelastic rods in large displacements
Finite element formulation of forced vibration problem of a prestretched plate resting on a rigid foundation.
Finite element methods for coupled thermoelasticity and coupled consolidation of clay
Finite Element Methods for Nonlinear Shell Analysis.
Finite elements methods for solving viscoelastic thin plates
The present paper deals with numerical solution of a viscoelastic plate. The discrete problem is defined by -elements and a linear multistep method. The effect of numerical integration is studied as well. The rate of cnvergence is established. Some examples are given in the conclusion.
Finite time singularities in transport equations with nonlocal velocities and fluxes
Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder
Finite volume schemes for the generalized subjective surface equation in image segmentation
In this paper, we describe an efficient method for 3D image segmentation. The method uses a PDE model – the so called generalized subjective surface equation which is an equation of advection-diffusion type. The main goal is to develop an efficient and stable numerical method for solving this problem. The numerical solution is based on semi-implicit time discretization and flux-based level set finite volume space discretization. The space discretization is discussed in details and we introduce three...
Finite volume schemes for the p-laplacian on cartesian meshes
This paper is concerned with the finite volume approximation of the p-laplacian equation with homogeneous Dirichlet boundary conditions on rectangular meshes. A reconstruction of the norm of the gradient on the mesh’s interfaces is needed in order to discretize the p-laplacian operator. We give a detailed description of the possible nine points schemes ensuring that the solution of the resulting finite dimensional nonlinear system exists and is unique. These schemes, called admissible, are locally...
Finite volume schemes for the p-Laplacian on Cartesian meshes
This paper is concerned with the finite volume approximation of the p-Laplacian equation with homogeneous Dirichlet boundary conditions on rectangular meshes. A reconstruction of the norm of the gradient on the mesh's interfaces is needed in order to discretize the p-Laplacian operator. We give a detailed description of the possible nine points schemes ensuring that the solution of the resulting finite dimensional nonlinear system exists and is unique. These schemes, called admissible, are locally...
Finite-difference approximation of energies in fracture mechanics
First boundary value problem of electroelasticity for a transversally isotropic plane with curvilinear cuts.
First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity.
Flambage des plaques élastiques multiperforées