The biharmonic equation is encountered in plane problems of elasticity (w is the Airy stress function). It is also used to describe slow flows of viscous incompressible fluids (w is the stream function). In the rectangular Cartesian system of coordinates, the biharmonic operator has the for
We present the definitions, derive the relevant Euler-Lagrange equations, and establish various prop...
Let a function amp;psi;(x,y), biharmonic in the semi-infinite strip {-1/2amp;lt;xamp;lt;1/2,yamp;lt;...
We consider a finite element method based on biorthogonal or quasi-biorthogonal systems for the biha...
The biharmonic equation arises in areas of continuum mechanics, including mechanics of elastic plate...
A new formulation of the Dirichlet problem for the biharmonic operator is presented. This gives rise...
The problem of viscous incompressible flow with harmonic pressure field is studied theoretically. A ...
In the present paper we study some properties of solutions of biharmonic problems. Namely, we study ...
AbstractThe biharmonic equation arises in areas of continuum mechanics including linear elasticity t...
The solution of cylindrical problems is addressed. A series solution is considered of the biharmonic...
The biharmonic equation which governs the stress problem in a half plane elasticity is solved for th...
In the current research, the sufficient conditions for uniform convergence of the eigenfunction expa...
978-0-7918-4484-7International audienceBiharmonic problem has been raised in many research fields, s...
There are various methods for constructing solutions of differential equations of fractional order. ...
summary:The aim of this paper is to analyze mathematically the method of fundamental solutions appli...
This paper deals with approximate solutions to integral equations arising in boundary value problems...
We present the definitions, derive the relevant Euler-Lagrange equations, and establish various prop...
Let a function amp;psi;(x,y), biharmonic in the semi-infinite strip {-1/2amp;lt;xamp;lt;1/2,yamp;lt;...
We consider a finite element method based on biorthogonal or quasi-biorthogonal systems for the biha...
The biharmonic equation arises in areas of continuum mechanics, including mechanics of elastic plate...
A new formulation of the Dirichlet problem for the biharmonic operator is presented. This gives rise...
The problem of viscous incompressible flow with harmonic pressure field is studied theoretically. A ...
In the present paper we study some properties of solutions of biharmonic problems. Namely, we study ...
AbstractThe biharmonic equation arises in areas of continuum mechanics including linear elasticity t...
The solution of cylindrical problems is addressed. A series solution is considered of the biharmonic...
The biharmonic equation which governs the stress problem in a half plane elasticity is solved for th...
In the current research, the sufficient conditions for uniform convergence of the eigenfunction expa...
978-0-7918-4484-7International audienceBiharmonic problem has been raised in many research fields, s...
There are various methods for constructing solutions of differential equations of fractional order. ...
summary:The aim of this paper is to analyze mathematically the method of fundamental solutions appli...
This paper deals with approximate solutions to integral equations arising in boundary value problems...
We present the definitions, derive the relevant Euler-Lagrange equations, and establish various prop...
Let a function amp;psi;(x,y), biharmonic in the semi-infinite strip {-1/2amp;lt;xamp;lt;1/2,yamp;lt;...
We consider a finite element method based on biorthogonal or quasi-biorthogonal systems for the biha...