TY  - INPR
A1  - Schmidtmann, Olaf
A1  - Feudel, Fred
A1  - Seehafer, Norbert
T1  - Nonlinear Galerkin methods for the 3D magnetohydrodynamic equations
N2  - 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.
T3  - NLD Preprints - 35 
Y1  - 2007
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1314
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-14431
ER  -