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cs.CE2020
A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature
Michal Lukasz Mika, Thomas Joseph Robert Hughes, Dominik Schillinger +2
The Karhunen-Loève series expansion (KLE) decomposes a stochastic process into an infinite series of pairwise uncorrelated random variables and pairwise -orthogonal functions.…
cs.CE2020
Electro-magneto-mechanically response of polycrystalline materials: Computational Homogenization via the Virtual Element Method
Christoph Böhm, Blaž Hudobivnik, Michele Marino +1
This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through the Virtual Element Method (VEM). VE-approaches have great p…
cs.CE2020
A machine learning based plasticity model using proper orthogonal decomposition
Dengpeng Huang, Jan Niklas Fuhg, Christian Weißenfels +1
Data-driven material models have many advantages over classical numerical approaches, such as the direct utilization of experimental data and the possibility to improve performance…