Professor Seokchan Kim, Dept of Mathematics, ChangWon National University, Changwon, Korea |

Title:FEM to compute Numerical Solution of PDEs with Corner Singularities using SIF |

Abstract: We consider the Poisson equation with homogeneous Dirichlet boundary condition defined on non convex polygonal domain with one re-entrant corner. Solution of such equation has singular behavior near that re-entrant corner and can be expressed as a sum of the regular part and the singular part. The coefficient of the singular part is called ‘the Stress Intensity Factor. The talk is to introduce a new method to obtain an accurate numerical solution for the Poisson Equation with corner singularities using the Stress Intensity Factor. |