# 2.9 Introduction to Finite Elements

## 2.9.2 1-D Finite Element Mesh and Notation

Consider a mesh of one-dimensional elements as shown in Figure 2.35.

Figure 2.35: Mesh and notation for one-dimensional finite element method.

As shown in the figure, element $$j$$ is the region from $$x_{j} \leq x \leq x_{j+1}$$. Note, each element can have its own length,

 $\Delta x_ j \equiv x_{j+1} - x_ j.$ (2.198)