By using the finite element $p$-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element $p$-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshl...

Article history: Received 2 January 2014 Received in revised form 23 March 2014 Accepted 27 March 2014 Available online 2 April 2014

We give a new analysis of Petrov-Galerkin finite element methods for solving linear singularly perturbed two-point boundary value problems without turning points. No use is made of finite difference methodology such as discrete maximum principles, nor of asymptotic expansions. On meshes which are either arbitrary or slightly restricted, we derive energy norm and L norm error bounds. These bound...

A finite element method for the 1-periodic Korteweg-de Vries equation "t + 2uux + "xxx = ° is analyzed. We consider first a semidiscrete method (i.e., discretization only in the space variable), and then we analyze some unconditionally stable fully discrete methods. In a special case, the fully discrete methods reduce to twelve point finite difference schemes (three time levels) which have seco...

219-235, ASME winter meeting, Anaheim, CA, Nov. 1998. ABSTRACT A new finite element approach to sandwich shells is proposed. It uses existing shell finite elements formulated for homogeneous shells. The “sandwich” nature of the problem is hidden from the main finite element program. Based on several assumptions the proposed homogenization procedure calculates stress increments in a homogeneous ...