Polyhedrální konečné prvky v úlohách vedení tepla

Abstract

The primary focus of this thesis is the polyhedral finite element method in 2D, using which we will be solving the Poisson equation valued zero on the boundary. While solving the polyhedral finite element method we will touch upon generalized barycentric coordinates. The secondary focus of this thesis is the generation of efficient quadratures, we will implement a Newton method based algorithm that can improve the efficiency of a given quadrature rule.