Symplectic Model Order Reduction with Non-Orthonormal Bases

March 1, 2019 / Brit Steiner

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.

Symplectic Model Order Reduction with Non-Orthonormal Bases

To the top of the page