Search
Now showing items 21-30 of 39
Special boundary approximation methods for laplace equation problems with boundary singularities- Applications to the motz problem
(2006)
We investigate the convergence of special boundary approximation methods (BAMs) used for the solution of Laplace problems with a boundary singularity. In these methods, the solution is approximated in terms of the leading ...
On the effects of using curved elements in the approximation of the Reissner-Mindlin plate by the p version of the finite element method
(2003)
We consider the approximation of the Reissner-Mindlin plate model by the standard Galerkin p version finite element method. Under the assumption of sufficient smoothness on the solution, we illustrate that the method is ...
Transformation properties of a variable-coefficient Burgers equation
(2004)
In this paper we consider the variable coefficient equation u t=b(t)uux+a(t)uxx which among other applications has considerable interest in nonlinear acoustics. We present transformation properties of this generalised ...
Adaptive bounding techniques for stable neural control systems
(IEEE, 1995)
This paper considers the design of stable adaptive neural controllers for uncertain nonlinear dynamical systems with unknown nonlinearities. The Lyapunov synthesis approach is used to develop state-feedback adaptive control ...
The hp finite element method for problems in mechanics with boundary layers
(1998)
Boundary layer phenomena are well-known in the study of fluid flow problems. Perhaps less known, but equally ubiquitous, is their existence in thermal, plate and shell analysis, where they also play a very significant role. ...
Some aspects of the Method of Fundamental solutions for certain biharmonic problems
(2003)
In this study, we investigate the application of the Method of Fundamental Solutions for the solution of biharmonic Dirichlet problems on a disk. Modifications of the method for overcoming sources of inaccuracy are suggested. ...
A matrix decomposition MFS algorithm for axisymmetric potential problems
(2004)
The method of fundamental solutions is a boundary-type meshless method for the solution of certain elliptic boundary value problems. By exploiting the structure of the matrices appearing when this method is applied to ...
A note on the convergence rate of the finite element method for singularly perturbed problems using the Shishkin mesh
(2003)
We consider the numerical approximation of singularly perturbed problems by the h version of the finite element method on a piecewise uniform, Shishkin mesh. It is well known that this method yields uniform approximations, ...
A note on p/hp finite element methods for reaction-diffusion problems in polygonal domains
(2000)
We present guidelines on how to choose the mesh and polynomial degree distribution for the approximation of reaction-diffusion problems in polygonal domains, in the context of the hp finite element method. These guidelines ...