Format:
Online-Ressource (PDF-Datei: 16 S., 2.860 kB)
,
graph. Darst.
Edition:
[2007] Online-Ausg
Series Statement:
Preprint NLD 035
Content:
The usage of nonlinear Galerkin methods for the numerical solution of partial differential equations is demonstrated by treating an example. We desribe the implementation of a nonlinear Galerkin method based on an approximate inertial manifold for the 3D magnetohydrodynamic equations and compare its efficiency with the linear Galerkin approximation. Special bifurcation points, time-averaged values of energy and enstrophy as well as Kaplan-Yorke dimensions are calculated for both schemes in order to estimate the number of modes necessary to correctly describe the behavior of the exact solutions.
Note:
Online-Ausg.
Additional Edition:
Erscheint auch als Druck-Ausgabe Schmidtmann, Olaf Nonlinear Galerkin methods for the 3D Magnetohydrodynamic equations Potsdam : NLD, 1997
Language:
English
URN:
urn:nbn:de:kobv:517-opus-14431