Nodal basis functions

The paper "Transition nodal basis functions in p-adaptive finte element methods" present two different approaches to define transition nodal basis functions that can be used to allow elements of different degrees on the same mesh in p-adaptive finite element method.

5p runordie2 06-06-2022 6 0   Download

In adaptive finite element methods, the papproach uses elements of varying degrees to represent the approximate solution. In this paper, we systematically define, present and prove the main properties of nodal basis functions utilized in p-adaptive finite element methods.

5p vimississippi2711 08-12-2020 8 0   Download

This study presents a novel application of mesh-free method using the smoothed-radial basis functions for the computational homogenization analysis of materials. The displacement field corresponding to the scattered nodes within the representative volume element (RVE) is split into two parts including mean term and fluctuation term, and then the fluctuation one is approximated using the integrated radial basis function (iRBF) method.

12p cothumenhmong8 04-11-2020 18 1   Download