Wave Propagation Modelling near Corners and Edges

Disciplines

Mathematics (100%)

Keywords

Finite Element Method, Wave Equation, Corner Singularities, Edge Singularities, Adapted Finite Elements, Adapted Basis Functions

Abstract

This project is focused on computer simulations of wave phenom- ena such as acoustic waves, seismic waves, and electromagnetic waves. Standard methods, like the classical finite element method, can not accurately predict the propagation of waves near objects with sharp edges and corners. The goal of this project is to extend the finite ele- ment method in such a way that the simulations remain accurate for objects with sharp edges and corners without requiring significantly more computation time. 1