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:
Hunan Normal Univ, Inst Computat, Changsha 410081, Hunan, Peoples R ChinaHunan Normal Univ, Inst Computat, Changsha 410081, Hunan, Peoples R China
Chen, Chuanmiao
Shi, Zhong-Ci
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机构:
Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R ChinaHunan Normal Univ, Inst Computat, Changsha 410081, Hunan, Peoples R China
Shi, Zhong-Ci
Hu, Hongling
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机构:
Hunan Normal Univ, Inst Computat, Changsha 410081, Hunan, Peoples R ChinaHunan Normal Univ, Inst Computat, Changsha 410081, Hunan, Peoples R China