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:
College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China),Hunan Normal UniversityCollege of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China),Hunan Normal University
CHEN ChuanMiao
HU HongLing
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College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China),Hunan Normal UniversityCollege of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China),Hunan Normal University
机构:
Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Pan, Kejia
He, Dongdong
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机构:
Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
He, Dongdong
Chen, Chuanmiao
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机构:
Hunan Normal Univ, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Minist Educ China, Changsha 410081, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China