March 1, 2019 / Brit Steiner

Symplectic Model Order Reduction with Non-Orthonormal Bases

New SimTech Preprint

We are happy to announce our new SimTech preprint entitled "Symplectic Model Order Reduction with Non-Orthonormal Bases". In our article, we classify basis generation techniques for symplectic model order reduction as orthonormal and non-orthonormal. We prove that existing basis generation techniques almost exclusively restrict to the class of orthonormal procedures. Furthermore, we propose a new, non-orthonormal method and present first theoretical results as well as a comparison with existing methods for a linear elasticity model in the numerical experiments.

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