Results 41 to 50 of about 28,001 (222)

Cluster-based Generalized Multiscale Finite Element Method for elliptic PDEs with random coefficients

, 2017
We propose a generalized multiscale finite element method (GMsFEM) based on clustering algorithm to study the elliptic PDEs with random coefficients in the multi-query setting. Our method consists of offline and online stages.
Chung, Eric T., Efendiev, Yalchin, Leung, Wing Tat, Zhang, Zhiwen   +3 more
core   +1 more source

Multiscale Partition of Unity [PDF]

, 2013
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte, C.A. Duarte, D.-J. Kim, H. Owhadi, H.W. Alt, I. Babuška, J.M. Melenk, J.T. Oden, N. Moës, T. Belytschko, T.J. Liszka, V. Gupta   +11 more
core   +2 more sources

A weak Galerkin generalized multiscale finite element method

Journal of Computational and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mu, Lin, Wang, Junping, Ye, Xiu
openaire   +2 more sources

A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials [PDF]

, 2014
This article has been made available through the Brunel Open Access Publishing Fund.A new multiscale finite element formulation is presented for nonlinear dynamic analysis of heterogeneous structures.
A Chopra, AK Kaw, C Fuggini, C Hu, CT Herakovich, D Bournas, DR Cook, E. N. Chatzi, F Casadei, G Powell, GA Pavliotis, H Zhang, HM Hilber, HS Park, HW Zhang, HW Zhang, I Babuška, I Babuška, J Lubliner, J Lv, J Simo, J Simo, J Xu, JE Andrade, K Markov, K Washizu, K Worden, KJ Bathe, M Nithyadharan, M Tootkaboni, MM Aghdam, OC Zienkiewicz, OS Bursi, P Kanouté, P Sengupta, Q Yu, R Azizi, R Senthivel, RH Cherng, S Erlicher, S Erlicher, S Nemat-Naser, S. P. Triantafyllou, T Belytschko, T Zohdi, T Zohdi, TI Zohdi, TT Baber, TY Hou, VD Nguyen, WJ Harvey, X He, XF Xu, Y Efendiev, Y Efendiev, YR Kim   +55 more
core   +3 more sources

Mixed Generalized Multiscale Finite Element Method for flow problem in thin domains

Journal of Computational and Applied Mathematics, 2022
In this paper, we construct a class of Mixed Generalized Multiscale Finite Element Methods for the approximation on a coarse grid for an elliptic problem in thin two-dimensional domains. We consider the elliptic equation with homogeneous boundary conditions on the domain walls. For reference solution of the problem, we use a Mixed Finite Element Method
Denis Spiridonov, Maria Vasilyeva, Min Wang, Eric T. Chung   +3 more
openaire   +3 more sources

A Topology Optimization Framework for the Inverse Design of Nonlinear Mechanical Metamaterials

Advanced Engineering Materials, EarlyView.
This work uses topology optimization to design unit cells for mechanical metamaterials with a prescribed nonlinear stress–strain response. The framework adds contact and postbuckling modeling to synthesize microstructures for three highly nonlinear responses, including pseudoductile behavior, monostable with snap‐through buckling, and bistable ...
Charlie Aveline, Matthew Santer, Robert Hewson   +2 more
wiley   +1 more source

Comparison of Multiscale Method of Cells-Based Models for Predicting Elastic Properties of Filament Wound C/C-SiC [PDF]

Three different multiscale models, based on the method of cells (generalized and high fidelity) micromechanics models were developed and used to predict the elastic properties of C/C-SiC composites.
Bednarcyk, Brett A., Fassin, Marek, Pineda, Evan J., Reese, Stefanie, Simon, Jaan-Willem   +4 more
core   +2 more sources

Bio‐Inspired Molecular Events in Poly(Ionic Liquids)

Advanced Functional Materials, EarlyView.
Originating from dipolar and polar inter‐ and intra‐chain interactions of the building blocks, the topologies and morphologies of poly(ionic liquids) (PIL) govern their nano‐ and micro‐processibility. Modulating the interactions of cation‐anion pairs with aliphatic dipolar components enables the tunability of properties, facilitated by “bottom‐up ...
Jiahui Liu, Marek W. Urban
wiley   +1 more source

Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method [PDF]

GEM - International Journal on Geomathematics, 2015
In this paper, we develop a multiscale finite element method for solving flows in fractured media. Our approach is based on Generalized Multiscale Finite Element Method (GMsFEM), where we represent the fracture effects on a coarse grid via multiscale basis functions.
Efendiev, Yalchin R., Lee, Seong, Li, Guanglian, Yao, Jun, Zhang, Na   +4 more
openaire   +3 more sources

Computational Modeling Meets 3D Bioprinting: Emerging Synergies in Cardiovascular Disease Modeling

Advanced Healthcare Materials, EarlyView.
Emerging advances in three‐dimensional bioprinting and computational modeling are reshaping cardiovascular (CV) research by enabling more realistic, patient‐specific tissue platforms. This review surveys cutting‐edge approaches that merge biomimetic CV constructs with computational simulations to overcome the limitations of traditional models, improve ...
Tanmay Mukherjee, Mehdi Salar Amoli, Sarah Rezapourdamanab, Lama Rita El Shammas, Martin L. Tomov, Emilio A. Mendiola, Vahid Serpooshan, Reza Avazmohammadi   +7 more
wiley   +1 more source