For the Lamé's system, mixed boundary conditions generate singularities in the solution, mainly when the boundary of the domain is connected. We here prove Rellich relations involving these singularities. These relations are useful in the problem of boundary stabilization of the elastodynamic system when using the multipliers method. This problem is studied in Part II
We consider the regularized Ericksen model of an elastic bar on an elastic foundation on an interval...
AbstractOn certain bounded C1 domains Ω that are not necessarily C1,1, we prove that the Dirichlet p...
In this paper, we discuss a domain decomposition method to solve linear elasticity problems in compl...
For the Lamé's system, mixed boundary conditions generate singularities in the solution, mainly when...
We here consider a elastodynamic system damped by a linear feedback of Neumann-type. We prove stabil...
This document contains works about two main axes of research.The first one concerns boundary stabili...
The singularities which arise when there is a sudden change of boundary conditions are modelled usin...
AbstractIn this paper we consider the linear Lamé equations in a non homogeneous three-dimensional d...
We study the asymptotic behavior of solutions with finite energy to the displacement problem of line...
This paper is devoted to a semigroup approach to an initial-boundary value problem of linear elastod...
International audienceIn this paper, we derive artificial boundary conditions for the computation of...
AbstractUniform exponential decay of solution is established for the elastodynamic system of elastic...
AbstractWe discuss the stabilization of finite element methods in which essential boundary condition...
A boundary integral based method for the stable reconstruction of missing boundary data is presented...
International audienceWe study a coupled system of two parabolic equations in one space dimension. T...
We consider the regularized Ericksen model of an elastic bar on an elastic foundation on an interval...
AbstractOn certain bounded C1 domains Ω that are not necessarily C1,1, we prove that the Dirichlet p...
In this paper, we discuss a domain decomposition method to solve linear elasticity problems in compl...
For the Lamé's system, mixed boundary conditions generate singularities in the solution, mainly when...
We here consider a elastodynamic system damped by a linear feedback of Neumann-type. We prove stabil...
This document contains works about two main axes of research.The first one concerns boundary stabili...
The singularities which arise when there is a sudden change of boundary conditions are modelled usin...
AbstractIn this paper we consider the linear Lamé equations in a non homogeneous three-dimensional d...
We study the asymptotic behavior of solutions with finite energy to the displacement problem of line...
This paper is devoted to a semigroup approach to an initial-boundary value problem of linear elastod...
International audienceIn this paper, we derive artificial boundary conditions for the computation of...
AbstractUniform exponential decay of solution is established for the elastodynamic system of elastic...
AbstractWe discuss the stabilization of finite element methods in which essential boundary condition...
A boundary integral based method for the stable reconstruction of missing boundary data is presented...
International audienceWe study a coupled system of two parabolic equations in one space dimension. T...
We consider the regularized Ericksen model of an elastic bar on an elastic foundation on an interval...
AbstractOn certain bounded C1 domains Ω that are not necessarily C1,1, we prove that the Dirichlet p...
In this paper, we discuss a domain decomposition method to solve linear elasticity problems in compl...