Results 11 to 20 of about 110,928 (311)
High-performance model reduction techniques in computational multiscale homogenization [PDF]
Computer Methods in Applied Mechanics and Engineering, 2014 A novel model-order reduction technique for the solution of the fine-scale equilibrium problem appearing in computational homogenization is presented. The reduced set of empirical shape functions is obtained using a partitioned version that accounts for the elastic/inelastic character of the solution - of the Proper Orthogonal Decomposition (POD).
J.A. Hernández +4 more
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Computational multiscale modeling of fracture and its model order reduction [PDF]
, 2017 This thesis focuses on the numerical modeling of fracture and its propagation in heterogeneous materials by means of hierarchical multiscale models based on the FE2 method, addressing at the same time, the problem of the excessive computational cost through the development, implementation and validation of a set of computational tools based on reduced ...
Manuel A. Caicedo
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MetalsIn this study, a multiscale model is developed through secondary development (UMAT and UEXTERNALDB) in Abaqus with the objective of simulating the thermal deformation process with dynamic recrystallization behavior.
Die Wu, Zhen Ning, Yanlin Zhu, Wei Yu
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Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction [PDF]
International Journal for Numerical Methods in Engineering, 2023 AbstractIn this article, a methodology for fine scale modeling of large scale linear elastic structures is proposed, which combines the variational multiscale method, domain decomposition and model order reduction. The influence of the fine scale on the coarse scale is modeled by the use of an additive split of the displacement field, addressing ...
Philipp Diercks +3 more
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Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems
Multiscale Modeling & Simulation, 2019 Summary: A new numerical method based on numerical homogenization and model order reduction is introduced for the solution of multiscale inverse problems. We consider a class of elliptic problems with highly oscillatory tensors that varies on a microscopic scale.
Assyr Abdulle, Andrea Di Blasio
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A MULTISCALE MODEL REDUCTION PROCEDURE FOR NEUTRON TRANSPORT PROBLEMS
Eurasian Journal of Mathematical and Computer ApplicationsFor neuron transport modeling, the neutron transport SP3 approximation is significantly more advantageous than using neutron diffusion. The SP3 approximation is very efficient approach, because we can find some balance between accuracy and computational cost. The SP3 model is fast and gives good level of accuracy. The SP3 has a similar structure that a
Denis Spiridonov
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Bayesian Estimation of Adsorption and Desorption Parameters for Pore Scale Transport
Mathematics, 2021 Stochastic parameter estimation and inversion have become increasingly popular in recent years. Nowadays, it is computationally reasonable and regular to solve complex inverse problems within the Bayesian framework.
Vasiliy V. Grigoriev +1 more
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Finite Element Simulation of Thermo-Mechanical Model with Phase Change
Computation, 2021 In this work, we consider a mathematical model and finite element implementation of heat transfer and mechanics of soils with phase change. We present the construction of the simplified mathematical model based on the definition of water and ice fraction
Maria Vasilyeva +2 more
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Mathematics, 2021 In this paper, we present a multiscale model reduction technique for unsaturated filtration problem in fractured porous media using an Online Generalized Multiscale finite element method. The flow problem in unsaturated soils is described by the Richards
Denis Spiridonov +3 more
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