Abstract
We apply the Karhunen-Loeve modes to improve the usual Galerkin reduction and compare this result with various other choices of ansatz functions. Moreover we also compare results obtained from a flat Galerkin reduction with those from a nonlinear Galerkin reduction making use of the Approximate Inertial Manifold method.
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Steindl, A., Troger, H., Zemann, J.V. (1999). Improved Galerkin Method in the Dimension Reduction of Nonlinear Dynamical Systems. In: Moon, F.C. (eds) IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics. Solid Mechanics and its Applications, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5320-1_8
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DOI: https://doi.org/10.1007/978-94-011-5320-1_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6235-0
Online ISBN: 978-94-011-5320-1
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