Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems

PAMM, vol. 26

Abstract

ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of magnitude. In this work, we apply a polynomial manifold approach to efficiently compute solutions to a hyperelastic quasi‐static RVE problem.

Authors 2

1. Erik Faust corresponding Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

2. Lisa Scheunemann Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany