A Combined Finite Element and Multiscale Finite Element Method for the Multiscale Elliptic Problems

Weibing Deng; Haijun Wu

doi:10.1137/120898279

A Combined Finite Element and Multiscale Finite Element Method for the Multiscale Elliptic Problems

Multiscale Modeling and Simulation ◽

10.1137/120898279 ◽

2014 ◽

Vol 12 (4) ◽

pp. 1424-1457 ◽

Cited By ~ 4

Author(s):

Weibing Deng ◽

Haijun Wu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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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 ◽

Cited By ~ 5

Author(s):

Rui Du ◽

Pingbing Ming

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Heterogeneous Multiscale ◽

Element Method

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Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

Mathematics of Computation ◽

10.1090/s0025-5718-99-01077-7 ◽

1999 ◽

Vol 68 (227) ◽

pp. 913-944 ◽

Cited By ~ 332

Author(s):

Thomas Y. Hou ◽

Xiao-Hui Wu ◽

Zhiqiang Cai

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Oscillating Coefficients ◽

Multiscale Finite Element ◽

Element Method

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A multiscale finite element method for elliptic problems with highly oscillatory coefficients

Applied Numerical Mathematics ◽

10.1016/j.apnum.2003.12.002 ◽

2004 ◽

Vol 50 (1) ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Jinru Chen ◽

Junzhi Cui

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Highly Oscillatory ◽

Multiscale Finite Element ◽

Element Method

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A mixed multiscale finite element method for elliptic problems with oscillating coefficients

Mathematics of Computation ◽

10.1090/s0025-5718-02-01441-2 ◽

2002 ◽

Vol 72 (242) ◽

pp. 541-577 ◽

Cited By ~ 269

Author(s):

Zhiming Chen ◽

Thomas Y. Hou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Oscillating Coefficients ◽

Multiscale Finite Element ◽

Element Method

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A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media

Journal of Computational Physics ◽

10.1006/jcph.1997.5682 ◽

1997 ◽

Vol 134 (1) ◽

pp. 169-189 ◽

Cited By ~ 991

Author(s):

Thomas Y. Hou ◽

Xiao-Hui Wu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Composite Materials ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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High-Order Multiscale Finite Element Method for Elliptic Problems

Multiscale Modeling and Simulation ◽

10.1137/120898024 ◽

2014 ◽

Vol 12 (2) ◽

pp. 650-666 ◽

Cited By ~ 10

Author(s):

Jan S. Hesthaven ◽

Shun Zhang ◽

Xueyu Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

High Order ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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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 ◽

Element Method

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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 ◽

Element Method

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STRUCTURE/MATERIAL CONCURRENT OPTIMIZATION OF LATTICE MATERIALS BASED ON EXTENDED MULTISCALE FINITE ELEMENT METHOD

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2014007814 ◽

2015 ◽

Vol 13 (1) ◽

pp. 73-90 ◽

Cited By ~ 11

Author(s):

Jun Yan ◽

Wenbo Hu ◽

Zunyi Duan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Multiscale Finite Element Method ◽

Concurrent Optimization ◽

Lattice Materials ◽

Multiscale Finite Element ◽

Element Method

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Extended Multiscale Finite Element Method for Mechanical Analysis of Periodic Lattice Truss Materials

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.v8.i6.40 ◽

2010 ◽

Vol 8 (6) ◽

pp. 597-613 ◽

Cited By ~ 12

Author(s):

H. W. Zhang ◽

J. K. Wu ◽

Z. D. Fu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mechanical Analysis ◽

Periodic Lattice ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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