ME323 LECTURE 29

Alex Chortos

Finite Element Methods Summary

Π = Π𝐹 + Π𝑈 = − 𝑢 𝑇 𝐹 + 𝑢 𝑇[𝐾][𝑢]

δΠ

δ[𝑢]= 0 𝐾 𝑢 = [𝐹]

Trading off Mesh Size and Computational Time

Duriez, IEEE ICRA, 3982, 2013.

Multi-dimensional Systems?

Example 18.8

Example 18.9

Example 18.9 Continued

Example 18.10

Example 18.11

Example Question

2E E, 3A 3E, A

2PA3A

4L 4L 2L