High-Order Multiscale Finite Element Method for Elliptic Problems

Jan S. Hesthaven; Shun Zhang; Xueyu Zhu

doi:10.1137/120898024

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 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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A high-order multiscale finite-element method for time-domain acoustic-wave modeling

Journal of Computational Physics ◽

10.1016/j.jcp.2018.01.032 ◽

2018 ◽

Vol 360 ◽

pp. 120-136 ◽

Cited By ~ 8

Author(s):

Kai Gao ◽

Shubin Fu ◽

Eric T. Chung

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Acoustic Wave ◽

Time Domain ◽

High Order ◽

Wave Modeling ◽

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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A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media

Journal of Applied Geophysics ◽

10.1016/j.jappgeo.2019.103852 ◽

2019 ◽

Vol 170 ◽

pp. 103852 ◽

Cited By ~ 1

Author(s):

Shubin Fu ◽

Kai Gao ◽

Eric T. Chung

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elastic Wave ◽

Time Domain ◽

Heterogeneous Media ◽

High Order ◽

Wave Modeling ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

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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An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling

Computational Geosciences ◽

10.1007/s10596-019-09865-0 ◽

2019 ◽

Vol 23 (5) ◽

pp. 997-1010

Author(s):

Shubin Fu ◽

Kai Gao ◽

Richard L. Gibson ◽

Eric T. Chung

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elastic Wave ◽

Frequency Domain ◽

High Order ◽

Wave Modeling ◽

Multiscale Finite Element Method ◽

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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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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