The heterogeneous multiscale finite element method FE-HMM for the homogenization of linear elastic solids

PAMM ◽

10.1002/pamm.201610249 ◽

2016 ◽

Vol 16 (1) ◽

pp. 521-522 ◽

Author(s):

Bernhard Eidel ◽

Andreas Fischer

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elastic Solids ◽

Linear Elastic ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

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The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE2 method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.10.001 ◽

2018 ◽

Vol 329 ◽

pp. 332-368 ◽

Author(s):

Bernhard Eidel ◽

Andreas Fischer

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elastic Solids ◽

Linear Elastic ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

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Convergence of the Heterogeneous Multiscale Finite Element Method for Elliptic Problems with Nonsmooth Microstructures

Multiscale Modeling and Simulation ◽

10.1137/090780754 ◽

2010 ◽

Vol 8 (5) ◽

pp. 1770-1783 ◽

Author(s):

Rui Du ◽

Pingbing Ming

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

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Heterogeneous multiscale finite element method with novel numerical integration schemes

Communications in Mathematical Sciences ◽

10.4310/cms.2010.v8.n4.a4 ◽

2010 ◽

Vol 8 (4) ◽

pp. 863-885 ◽

Author(s):

Rui Du ◽

Pingbing Ming

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Integration ◽

Multiscale Finite Element Method ◽

Integration Schemes ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

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The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains

Numerische Mathematik ◽

10.1007/s00211-009-0244-4 ◽

2009 ◽

Vol 113 (4) ◽

pp. 601-629 ◽

Author(s):

Patrick Henning ◽

Mario Ohlberger

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Perforated Domains ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

Homogenization Problems ◽

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Computation of effective resistivity in materials with microinclusions by a heterogeneous multiscale finite element method

Physical Mesomechanics ◽

10.1134/s1029959917040051 ◽

2017 ◽

Vol 20 (4) ◽

pp. 407-416

Author(s):

M. I. Epov ◽

E. P. Shurina ◽

A. Yu. Kutischeva

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Multiscale Finite Element Method ◽

Effective Resistivity ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

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Multiscale finite-element method for linear elastic geomechanics

Journal of Computational Physics ◽

10.1016/j.jcp.2016.11.044 ◽

2017 ◽

Vol 331 ◽

pp. 337-356 ◽

Author(s):

Nicola Castelletto ◽

Hadi Hajibeygi ◽

Hamdi A. Tchelepi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elastic ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

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Comparisons of heterogeneous multiscale finite element method and localized homogenization process for modeling aperiodic metamaterials

Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation ◽

10.1109/aps.2012.6348588 ◽

2012 ◽

Author(s):

Zhen Peng ◽

Jin-Fa Lee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Multiscale Finite Element Method ◽

Homogenization Process ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

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The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift

Networks & Heterogeneous Media ◽

10.3934/nhm.2010.5.711 ◽

2010 ◽

Vol 5 (4) ◽

pp. 711-744 ◽

Author(s):

Patrick Henning ◽

◽

Mario Ohlberger

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Multiscale Finite Element Method ◽

Advection Diffusion ◽

Oscillating Coefficients ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

Diffusion Problems ◽

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A NEW MULTISCALE FINITE ELEMENT METHOD FOR MECHANICAL ANALYSIS OF PERIODIC HETEROGENEOUS COSSERAT MATERIALS

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2013005712 ◽

2013 ◽

Vol 11 (4) ◽

pp. 369-387

Author(s):

Zhaoqian Xie ◽

Hongwu Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mechanical Analysis ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

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A COUPLING OF MULTISCALE FINITE ELEMENT METHOD AND ISOGEOMETRIC ANALYSIS

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2020034287 ◽

2020 ◽

Vol 18 (4) ◽

pp. 439-454

Author(s):

Mateusz Dryzek ◽

Witold Cecot

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Isogeometric Analysis ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

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