A Subspace Cascadic Multigrid Method for Mortar Elements
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作者:
D. Braess
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机构:Faculty of Mathematics Ruhr-University D-44780 Bochum Germany e-mail: braess@num.ruhr-uni-bochum.de,
D. Braess
P. Deuflhard
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机构:Faculty of Mathematics Ruhr-University D-44780 Bochum Germany e-mail: braess@num.ruhr-uni-bochum.de,
P. Deuflhard
K. Lipnikov
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机构:Faculty of Mathematics Ruhr-University D-44780 Bochum Germany e-mail: braess@num.ruhr-uni-bochum.de,
K. Lipnikov
机构:
[1] Faculty of Mathematics Ruhr-University D-44780 Bochum Germany e-mail: braess@num.ruhr-uni-bochum.de,
[2] Department of Mathematics University of Houston Houston TX 77204-3476 USA e-mail: lipnikov@math.uh.edu,undefined
[3] Konrad-Zuse-Zentrum Berlin (ZIB) & Freie Universität Berlin Takustrasse 7 & Arnimallee 2–6 D-14195 Berlin Germany e-mail: deuflhard@zib.de,undefined
A cascadic multigrid (CMG) method for elliptic problems with strong material jumps is proposed and analyzed. Non–matching grids at interfaces between subdomains are allowed and treated by mortar elements. The arising saddle point problems are solved by a subspace confined conjugate gradient method as smoother for the CMG. Details of algorithmic realization including adaptivity are elaborated. Numerical results illustrate the efficiency of the new subspace CMG algorithm.
机构:
Penn State Univ, Dept Math, University Pk, PA 16802 USAChinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
Du Qiang
Ming PingBing
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机构:
Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R ChinaChinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
Ming PingBing
SCIENCE IN CHINA SERIES A-MATHEMATICS,
2008,
51
(08):
: 1415
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1439
机构:
Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China
Wang, Jinxuan
Pan, Kejia
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机构:
Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China
Pan, Kejia
Wu, Xiaoxin
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机构:
Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China