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Commutative Algebra Modeling in Materials Science - A Case Study on Metal-Organic Frameworks (MOFs). [PDF]

J Chem Inf Model
Khaemba CS, Feng H, Chen D, Chen CL, Wei GW, Wei GW.   +5 more
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A Multiscale Finite Element Method for Numerical Homogenization

Multiscale Modeling & Simulation, 2005
Summary: This paper is concerned with a multiscale finite element method for numerically solving second-order scalar elliptic boundary value problems with highly oscillating coefficients. In the spirit of previous other works, our method is based on the coupling of a coarse global mesh and a fine local mesh, the latter being used for computing ...
Allaire, Grégoire, Brizzi, Robert
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A Multiscale Finite-Element-Method

Civil-Comp Proceedings, 1997
Abstract This paper describes a hierarchical overlay of a p -version finite element approximation on a coarse mesh and an h -approximation on a geometrically independent fine mesh. The length scales of the local problem may be some orders of magnitude below the scale of the global problem.
Rank, E., Krause, R.
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Meshfree Generalized Multiscale Finite Element Method

Journal of Computational Physics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiscale Finite Element Methods

2009
This expository book surveys the main concepts and recent advances in multiscale finite element methods. This monograph is intended for the broader audiences including engineers, applied scientists and those who are interested in multiscale simulations.
Hou, Thomas, Efendiev, Yalchin
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Variational eigenstrain multiscale finite element method

Computer Methods in Applied Mechanics and Engineering, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Shaofan, Gupta, Anurag, Liu, Xiaohu, Mahyari, Morteza   +3 more
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A hybrid multiscale finite element/peridynamics method

International Journal of Fracture, 2017
A hybrid method is presented that uses a representative volume element-based multiscale finite element technique combined with a peridynamics method for modeling fracture surfaces. The hybrid method dynamically switches from finite element computations to peridynamics based on a damage criterion defined on the peridynamics grid, which is coincident ...
Raymond A. Wildman, James T. O’Grady, George A. Gazonas   +2 more
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Mortar multiscale finite element methods for Stokes–Darcy flows

Numerische Mathematik, 2013
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Girault, Vivette, Vassilev, Danail, Yotov, Ivan   +2 more
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