cascadic algebraic two-grid method;
interpolation operator;
second order elliptic problems;
cascadic algebraic two-level method;
D O I:
10.4028/www.scientific.net/AMM.511-512.971
中图分类号:
TP [自动化技术、计算机技术];
学科分类号:
0812 ;
摘要:
In this paper, a new interpolation operator is designed basin on red-black coarsening. Combining the interpolation operator, a cascadic algebraic two-grid (CATG) method and a cascadic algebraic two-level (CATL) method for the elliptic problems of second order are presented. Numerical experiments show that the better approximate value is obtained without smoothing on finer level, and the new methods reduce computational cost.
机构:
Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China
Shi, ZC
Xu, XJ
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机构:Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China
Xu, XJ
Man, HY
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机构:Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China
机构:
South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou 510630, Peoples R ChinaSouth China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou 510630, Peoples R China
Han, Yihui
Chen, Huangxin
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机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
Xiamen Univ, Fujian Prov Key Lab Math Modelling & High Perform, Xiamen 361005, Fujian, Peoples R ChinaSouth China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou 510630, Peoples R China
Chen, Huangxin
Wang, Xiao-Ping
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机构:
Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R ChinaSouth China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou 510630, Peoples R China
Wang, Xiao-Ping
Xie, Xiaoping
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机构:
Sichuan Univ, Sch Math, Chengdu 610064, Peoples R ChinaSouth China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou 510630, Peoples R China