REMARKS ON FINITE ELEMENT METHODS FOR CORNER SINGULARITIES USING SIF

Seokchan Kim, Soo Ryun Kong
2016 Honam Mathematical Journal  
In [15] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities, which is useful for the problem with known stress intensity factor. They consider the Poisson equations with homogeneous Dirichlet boundary condition, compute the finite element solution using standard FEM and use the extraction formula to compute the stress intensity factor, then they pose a PDE with a regular solution by imposing the nonhomogeneous boundary
more » ... neous boundary condition using the computed stress intensity factor, which converges with optimal speed. From the solution we could get accurate solution just by adding the singular part. This approach works for the case when we have the accurate stress intensity factor. In this paper we consider Poisson equations with mixed boundary conditions and show the method depends the accrucy of the stress intensity factor by considering two algorithms.
doi:10.5831/hmj.2016.38.3.661 fatcat:bbidimhti5eb3cshnfcpsacc2q