Piecewise Linear Boundaries

In this lecture, we will continue our discussion on linear finite elements by focusing on boundary conditions and frictional self-contact on piecewise linear boundaries. Specifically, we will examine the computation of the boundary integral term:

$${\int }_{\partial {\Omega }^0}{N}_{\hat{a}}(\mathbf{X})T_{\hat{i}}(\mathbf{X},t^n)ds(\mathbf{X})\text{\hspace{1em}(20.1)}$$

We will cover this in the context of Dirichlet and Neumann boundaries, as well as normal and frictional self-contact forces.