Short Communication: A Note on Optimal Hybrid V-cycle Multilevel Algorithms for Mixed Finite Element Systems with Penalty Term

Numerical Linear Algebra with Applications

Volumn 4, Issue 6, 1997, Pages 491-498

  Lai, Chen Yao G ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

Hierarchical decomposition hybrid V cycle preconditioner; Mixed finite elements

Indexed keywords

EID: 0642306100     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199711/12)4:6<491::AID-NLA116>3.0.CO;2-K     Document Type: Article

References (8)

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4. M. Bercovier. Perturbation of mixed variational problems, applications to mixed finite element methods. R.A.I.R.O.. Anal. Numer., 12, 211-236, 1978.
5. Z. Cai, C. I. Goldstein and J. E. Pasciak. Multilevel iteration for mixed finite element systems with penalty. SIAM J. Sci. Comput., 14, 1072-1088, 1993.
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7. P. A. Raviart and J. Thomas. A mixed finite element method for second order elliptic problems. In A. Dold and B. Eckmann, editors, Mathematical Aspects of the Finite Element Method, volume 606 of Lecture Notes in Mathematics, pages 292-315. Springer-Verlag, Heidelberg, 1977.
8. P. S. Vassilevski. Hybrid v-cycle algebraic multilevel preconditioners. Math. Comp., 58, 489-512, 1992.