An adaptive pROM method and its application in computational homogenization
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Computational homogenization methods open the possibility to simulate engineering structures on two scales simultaneously and to accurately describe complex macroscopic material behavior. Their intrinsically high computational cost can be alleviated through model order reduction methods in combination with hyper-reduction. The recently proposed E3C hyper-reduction method is enhanced by an adaptive pROM approach and applied to various computational homogenization problems, including hyperelasticity, von Mises plasticity, crystal plasticity and magnetism with hysteresis. It is found that errors in the order of 1% are obtained for small numbers of integration points, often in the order of 10, depending on the application.
