Dynamic Nodal Connectivity in Finite Element Method using Bezier Basis Functions

Abstract

In this work an attempt is made to define the nodal connectivity at the runtime rather than defining the same at the initial stage. The shape functions are also need to be defined dynamically. The advantage of this is in the selection of degree of the shape function as required by the gradient of the field variable. If the shape functions are defined by the Bezier basis functions, the nodal connectivity can be obtained at the run time itself. Apart from this, all other procedure like the development of the stiffness matrix, force vector and the assembly and the solution stage are identical to the Finite Element method. The results obtained by the present method are compared and found to be in good agreement with the analytical solution and the finite element method.