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Preconditioned Chebyshev collocation methods and triangular finite elements

✍ Scribed by M.O. Deville; E.H. Mund; V. Van Kemenade


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
380 KB
Volume
116
Category
Article
ISSN
0045-7825

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✦ Synopsis


This paper analyzes triangular finite elements for the preconditioning of Chebyshev collocation solutions of elliptic boundary value problems. Results are given for scalar model problems and for both Stokes and Navier-Stokes equations.


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Triangular composite finite elements
✍ Yong Guo; Michael Ortiz; Ted Belytschko; Eduardo A. Repetto πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 352 KB

Composite triangles consisting of four three-node triangles originally proposed by Camacho and Ortiz are studied. It is shown that the original element does not satisfy the BabuΓ„ ska-Brezzi condition nor pass the patch test. Remedies for these shortcomings are described. It is shown that the resulti