Short Communication: A note on optimal hybrid V-cycle multilevel algorithms for mixed finite element systems with penalty term
✍ Scribed by Chen-Yao G. Lai
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 74 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1070-5325
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✦ Synopsis
In this paper, we investigate some cost-effective hybrid V -cycle multilevel algorithms for the discrete systems that arise when a mixed finite element approach is used to solve certain second-order elliptic boundary value problems. By introducing a small penalty parameter, the perturbed indefinite system can be reduced to a symmetric positive definite system involving the unknown flux alone. We study the numerical behaviour of some hybrid V -cycle multilevel algorithms with optimal computational complexity based on the hierarchical spatial decomposition approach proposed by Cai, Goldstein and Pasciaks for the reduced system.