Mathmod 2018 Extended Abstracts

Structure-Preserving Model Reduction of Hamiltonian Systems for Linear Elasticity

MATHMOD 2018 Extended Abstract Volume​, ARGESIM Report 55 (ISBN 978-3-901608-91-9), p 35-36, DOI: 10.11128/arep.55.a55228


The goal of this paper is to apply model reduction techniques that preserve the Hamiltonian structure (see e.g. Maboudi Afkham and Hesthaven (2016)) to a high-dimensional, linear elasticity model. The Hamiltonian structure of a linear elasticity model is presented and the structure-preserving model reduction is introduced. Further, two structure-preserving model reduction techniques are compared to a technique that does not preserve the Hamiltonian structure in a numerical experiment.