Abstract
The conventional Galerkin finite element solution is mesh dependent, and its discretization for Poisson's equation can not satisfy the conservation law at a nodal level when unstructured linear meshes are used. We solved these problems by introducing a new concept of the virtual nodal domain(Vnd), and distributing the source term to a nodal algebraic equation in proportion to the volume of the Vnd. In this research, the idea of Vnd is applied to structural analysis using triangular elements, and the load term is distributed in proportion to the volume of the Vnd. Numerical simulation of displacement shows that the accuracy has been improved obviously comparing with the conventional Galerkin FEM.
