Modified Fixed Grid Finite Element Method in the Analysis of 2D Linear Elastic Problems

In this paper, a modification on the fixed grid finite element method is presented and used in the solution of 2D linear elastic problems. This method uses non-boundary-fitted meshes for the numerical solution of partial differential equations. Special techniques are required to apply boundary conditions on the intersection of domain boundaries and non-boundary-fitted elements. Hence, a new method is also presented for the computation of stiffness matrix of boundary intersecting elements and boundary conditions of higher accuracy are applied. In order to examine the applicability of the proposed method, some numerical examples are solved and the results are compared with those obtaioned from both fixed grid finite element and standard finite element methods.