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BDDC and FETI-DP preconditioners for spectral element discretizations

✍ Scribed by Luca F. Pavarino

Book ID
104013263
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
353 KB
Volume
196
Category
Article
ISSN
0045-7825

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✦ Synopsis

Two of the most recent and important nonoverlapping domain decomposition methods, the BDDC method (Balancing Domain Decomposition by Constraints) and the FETI-DP method (Dual-Primal Finite Element Tearing and Interconnecting) are here extended to spectral element discretizations of second-order elliptic problems. In spite of the more severe ill-conditioning of the spectral element discrete systems, compared with low-order finite elements and finite differences, these methods retain their good properties of scalability, quasi-optimality and independence on the discontinuities of the elliptic operator coefficients across subdomain interfaces.

πŸ“œ SIMILAR VOLUMES

Spectral element FETI-DP and BDDC precon
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✍ Axel Klawonn; Luca F. Pavarino; Oliver Rheinbach πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 297 KB

The discrete systems generated by spectral or hp-version finite elements are much more ill-conditioned than the ones generated by standard low-order finite elements or finite differences. This paper focuses on spectral elements based on Gauss-Lobatto-Legendre (GLL) quadrature and the construction of