Euler-Poincare reduction for discrete field theories

Details Euler-Poincare reduction for discrete field theories Euler-Poincare reduction for discrete field theories

2006-06-12

arxiv.org/abs/math-ph/0606033v2

J.Math.Phys.48:032902,2007

Physics

Mathematical Physics

24 pages, 3 figures (v2: simplified treatment)

Scientific paper

10.1063/1.2712419

In this note, we develop a theory of Euler-Poincare reduction for discrete Lagrangian field theories. We introduce the concept of Euler-Poincare equations for discrete field theories, as well as a natural extension of the Moser-Veselov scheme, and show that both are equivalent. The resulting discrete field equations are interpreted in terms of discrete differential geometry. An application to the theory of discrete harmonic mappings is also briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Euler-Poincare reduction for discrete field theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Euler-Poincare reduction for discrete field theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Euler-Poincare reduction for discrete field theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648081