Noether's Theorem for Smooth, Discrete and Finite Element Models

摘要

Noether's Theorem links symmetries and conservation laws for Euler Lagrange Systems. What is a conservation law. Answer: a divergence expression which is zero on solutions of the system. CONCLUSIONS: The underlying algebraic pattern of the exact variational complexes provide a framework for generalisations of Noether's Theorem and conservation laws in general. Symmetry-adapted moments would appear to be necessary.