Methods for dimension reduction and their application in nonlinear dynamics

DOI10.1016/S0020-7683(00)00157-8zbMath1003.74032MaRDI QIDQ5926680

Hans Troger, Alois Steindl

Publication date: 27 January 2003

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

zbMATH Keywords

nonlinear Galerkin methodapproximate inertial manifold theorydimension reductioninfinite-dimensional systemsKarhunen-Loeve ansatz functionslinear Galerkin methodlow-dimensional systemspost-processing Galerkin methodproper orthogonal decomposition

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamical systems in solid mechanics (37N15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Nonlinear dynamics in mechanics (70K99)

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