Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 140-145.

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The V-cycle Multigrid Method for a Hermite-type Rectangular Element 

  

  1. 1. School of Mathematical Sciences, Xuchang University2. Department of Mathematics, Zhengzhou University

  • Received:2005-06-23 Online:2010-03-30 Published:2023-06-14
  • About author: ZHAO Yan-min(1979- ), female, native of Yanling, Henan, a lecturer of Xuchang University, Ph.D., engages in finite element method; SHI Dong-yang(1963- ), male, native of Lushan, Henan, a professor of Zhengzhou University, Ph.D., engages in finite element method.
  • Supported by:
     Supported by NSF of China(10971203)； Supported by the NSF of the education Department of Henan Province (2009A110017)；

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Abstract: In this paper, a V-cycle multigrid method is presented for a Hermite rectangular element. By defining proper mesh-dependent inner product and transfer operator, we obtain its convergence property and the uniform convergence rate independent of mesh size and level are established.

Key words: V-cycle, Hermite-type, multigrid method, transfer operator

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