Add to ORKGIn this work, a mathematical model for small vibrations of an elastic string with moving boundaries is discussed. Global existence and uniqueness of solutions have been established in [12]. The objective of this paper is to obtain the error estimates of solutions in Sobolev spaces for the semi-discrete problem, with discretization of space variable and continuous time. The analysis is based on Galerkin finite element method
In this paper, we study the transverse vibrations of a string and of a beam which are infinitely lon...
We study the C1 solutions of the motion of a perfectly elastic string in an n-dimensional space. We ...
AbstractIn this paper, we study the transverse vibrations of a string and of a beam which are infini...
Dedicated to the memory of Jacques-Louis Lions In this work we investigate a mathematical model for ...
AbstractIn this paper we analyze from the mathematical point of view a model for small vertical vibr...
A mathematical model for the small vibration of an elastic string is considered. The model takes int...
A new derivation of a wave equation for small vibrations of elastic strings fastened at ends varying...
Transverse vibrations of a semi-bounded string consisting of different materials are considered. The...
International audienceWe give an explicit formula which describes the solution of the problem of the...
We find eigenvalue solutions to wave equations for continuous systems,in particular waves on a strin...
We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacemen...
Abstract. Transversal vibrations u = u(x, t) of a string of length l under three essential boundary ...
In this work, we are interested in obtaining an approximated numerical solution for the model of vib...
In this paper we study the existence and uniqueness of the weak solution of a mathematical model tha...
International audienceThe free vibration response of an ideal string impacting a distributed parabol...
In this paper, we study the transverse vibrations of a string and of a beam which are infinitely lon...
We study the C1 solutions of the motion of a perfectly elastic string in an n-dimensional space. We ...
AbstractIn this paper, we study the transverse vibrations of a string and of a beam which are infini...
Dedicated to the memory of Jacques-Louis Lions In this work we investigate a mathematical model for ...
AbstractIn this paper we analyze from the mathematical point of view a model for small vertical vibr...
A mathematical model for the small vibration of an elastic string is considered. The model takes int...
A new derivation of a wave equation for small vibrations of elastic strings fastened at ends varying...
Transverse vibrations of a semi-bounded string consisting of different materials are considered. The...
International audienceWe give an explicit formula which describes the solution of the problem of the...
We find eigenvalue solutions to wave equations for continuous systems,in particular waves on a strin...
We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacemen...
Abstract. Transversal vibrations u = u(x, t) of a string of length l under three essential boundary ...
In this work, we are interested in obtaining an approximated numerical solution for the model of vib...
In this paper we study the existence and uniqueness of the weak solution of a mathematical model tha...
International audienceThe free vibration response of an ideal string impacting a distributed parabol...
In this paper, we study the transverse vibrations of a string and of a beam which are infinitely lon...
We study the C1 solutions of the motion of a perfectly elastic string in an n-dimensional space. We ...
AbstractIn this paper, we study the transverse vibrations of a string and of a beam which are infini...