[OpenWalnut] tensor line integration
Francisco J. Beron-Vera
fberon at rsmas.miami.edu
Thu Jun 30 23:00:55 CEST 2011
Hi,
Let x denotes position on D \in R^2 and T(x) is a (symmetric) 2-tensor
field on D. Then
(1) T(x) e(x) = \lambda(x) e(x)
where (e(x),\lambda(x)) is an eigenvector field/eigenvalue field pair.
Then consider the ODE
(2) x'(s) = e(x(s)), x(0) = x_0,
where s is the natural parameterization (arclength).
I need to compute the integral curves of (1) - tensor lines. I have a
table of numbers specifying the components of e on a regular lattice.
How can do this computation using OpenWalnut?
Thank you in advance.
Francisco
--
Francisco J. Beron-Vera
RSMAS/AMP, U. Miami
4600 Rickenbacker Cswy.
Miami, FL 33149 USA
+1 (305) 421-4873
+1 (305) 421-4701 (fax)
fberon at rsmas.miami.edu
www.rsmas.miami.edu/personal/fberon
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