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

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 2005
Accession Number
ADA433789

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  • Elizabeth Mansfield

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  • University of Kent

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  • Calculus or Mathematical Analysis