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Semi-coarsening AMLI algorithms for elasticity problems.
- Source :
- Numerical Linear Algebra with Applications; Sep/Oct98, Vol. 5 Issue 5, p347-362, 16p
- Publication Year :
- 1998
-
Abstract
- The constant γ in the strengthened Cauchy-Buniakowski-Schwarc (CBS) inequality plays a key role in the convergence analysis of the multilevel iterative methods. We consider in this paper the approximation of the two-dimensional elasticity problem by bilinear rectangle finite elements. Two semi-coarsening refinement procedures are studied. We prove for both cases new estimates of the constant γ, uniformly on the Poisson ratio. As a result of the presented analysis we obtain an optimal order algebraic multiLevel iteration (AMLI) method for the case of balanced semi-coarsening mesh refinement. The total computational complexity of the algorithm is proportional to the size of the discrete problem with a proportionality constant independent of the Poisson ratio, that is, the algorithm is of optimal order for almost incompressible elasticity problems. Copyright © 1999 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10705325
- Volume :
- 5
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Numerical Linear Algebra with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 13440636
- Full Text :
- https://doi.org/10.1002/(SICI)1099-1506(199809/10)5:5<347::AID-NLA137>3.0.CO;2-5