A new approach in the formulation of finite elements using the concepts of least squares in conjunction with collocation is developed. No numerical integration is required in the stiffness formulation and the resulting matrix has the advantage of being always symmetrical. This approach has also been applied to the finite strip method and provides a means for rapid and accurate analysis of high order partial differential equations. The accuracy and versatility of the method are demonstrated by several examples.link_to_subscribed_fulltex
AbstractA theoretical framework for the least squares solution of first order elliptic systems is pr...
Numerical approximations to the linear elastic system are traditionally based on the finite element ...
Abstract. This paper develops a least-squares finite element method for linear elasticity in both tw...
A finite element method based on least squares collocation on an element is formulated for problems ...
Since their emergence, finite element methods have taken a place as one of the most versatile and po...
The collocation and least residuals (CLR) method combines the methods of collocations (CM) and least...
The finite element method is a way to discretize partial differential equations. The problem is tran...
Spectral collocation methods are advertised as a powerful tool for a numerical so- lution of boundar...
International audienceIn the present paper we propose a new method for constructing a second order M...
This paper introduces a new development for the finite strip method. The precise integration method ...
Abstract:- In this paper a new method for solving (non-linear) ordinary differential equations is pr...
When the equations of linear elasticity are solved by the standard Galerkin method the equations bec...
We demonstrate the potential of collocation methods for efficient higher-order analysis on standard ...
This paper introduces multivalue collocation methods for the numerical solution of stiff problems. T...
Storn J. On a relation of discontinuous Petrov–Galerkin and least-squares finite element methods. Co...
AbstractA theoretical framework for the least squares solution of first order elliptic systems is pr...
Numerical approximations to the linear elastic system are traditionally based on the finite element ...
Abstract. This paper develops a least-squares finite element method for linear elasticity in both tw...
A finite element method based on least squares collocation on an element is formulated for problems ...
Since their emergence, finite element methods have taken a place as one of the most versatile and po...
The collocation and least residuals (CLR) method combines the methods of collocations (CM) and least...
The finite element method is a way to discretize partial differential equations. The problem is tran...
Spectral collocation methods are advertised as a powerful tool for a numerical so- lution of boundar...
International audienceIn the present paper we propose a new method for constructing a second order M...
This paper introduces a new development for the finite strip method. The precise integration method ...
Abstract:- In this paper a new method for solving (non-linear) ordinary differential equations is pr...
When the equations of linear elasticity are solved by the standard Galerkin method the equations bec...
We demonstrate the potential of collocation methods for efficient higher-order analysis on standard ...
This paper introduces multivalue collocation methods for the numerical solution of stiff problems. T...
Storn J. On a relation of discontinuous Petrov–Galerkin and least-squares finite element methods. Co...
AbstractA theoretical framework for the least squares solution of first order elliptic systems is pr...
Numerical approximations to the linear elastic system are traditionally based on the finite element ...
Abstract. This paper develops a least-squares finite element method for linear elasticity in both tw...